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  1. PREFACE: SPECIAL ISSUE ON “RECENT APPLICATIONS OF FRACTAL THEORY AND FRACTIONAL CALCULUS IN MATHEMATICAL PHYSICS”

    Article • Fractals, February 2026, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  2. New analytical and approximate solutions for the time-conformable fractional Kersten–Krasil’shchik coupled KdV–mKdV nonlinear system

    Article • Engineering Computations, September 2025, Emerald

    Prof. Omar Abu Arqub

  3. Numerical analysis of Lucas polynomials innovative technique within the Galerkin strategy for solving fuzzy-type differential models with an application in the electrical circuit engineering field

    Article • Results in Engineering, September 2025, Elsevier

    Prof. Omar Abu Arqub

  4. Theoretical predictions of existence and uniqueness for stochastic M-fractional differential models of random Brownian motion, exhibited with matrix spectral collocation solutions and simulated with the electrical engineering RLC utility as a case inte...

    Article • Fractals, August 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  5. Study of soliton solutions, bifurcation, and sensitivity analysis in the Davey–Stewartson–Kadomtsev–Petviashvili model

    Article • Modern Physics Letters B, August 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  6. Existence, uniqueness, and numerical analysis of fractional M-derivative stochastic integrodifferential models within the shifted Legendre Gauss pseudospectral algorithm

    Article • Fluctuation and Noise Letters, July 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  7. AN INVERSE TIME-DEPENDENT DIFFUSION COEFFICIENT PROBLEM FOR A SPACE-FRACTIONAL DIFFUSION EQUATION

    Article • Fractals, July 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  8. Theoretical study and numerical analysis using step spectral collocation method for stochastic M-fractional differential models of simplified Brownian motion within constant delays process

    Article • Korean Journal of Computational & Applied Mathematics, June 2025, Springer Science + Business Media

    Prof. Omar Abu Arqub

  9. ANALYSIS AND COLLOCATION APPROXIMATIONS USING SHIFTED LEGENDRE GALERKIN ALGORITHM FOR SYSTEMS OF FRACTIONAL INTEGRODIFFERENTIAL DELAY PROBLEMS REGARDING HILFER FRACTIONAL TYPE

    Article • Fractals, June 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  10. Bifurcation, chaos, and time series analysis of the Manakov model utilizing the unified Riccati equation expansion technique

    Article • Modern Physics Letters A, May 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  11. Fractional analysis of time-fractional Emden–Fowler model arising in fluid flow of porous media and physical sciences

    Article • International Journal of Geometric Methods in Modern Physics, May 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  12. Soliton solutions and stability analysis to the Hirota-bilinear-like model using the unified Riccati equation expansion approach

    Article • Modern Physics Letters B, March 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  13. Predictor–corrector approach for the numerical solution of fuzzy fractional differential equations and linear multiterm fuzzy fractional equations

    Article • Soft Computing, February 2025, Springer Science + Business Media

    Prof. Omar Abu Arqub

  14. THE PROSPECTIVE ANALYSIS OF THREE-DIMENSIONAL TIME-FRACTIONAL HELMHOLTZ MODEL USING A NEW ITERATIVE METHOD

    Article • Fractals, January 2025, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  15. Bifurcation, chaotic analysis and soliton solutions to the (3+1)-dimensional p-type model

    Article • Alexandria Engineering Journal, November 2024, Elsevier

    Prof. Omar Abu Arqub

  16. Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic Brownian motion

    Article • Results in Applied Mathematics, November 2024, Elsevier

    Prof. Omar Abu Arqub

  17. Exploring the New Analytical Wave Solutions for M-Fractional Stochastic Nizhnik-Novikov-Veselov System by an Efficient Analytical Technique

    Article • Progress in Fractional Differentiation and Applications, October 2024, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  18. Investigating the invariant solutions of (1+1)-dimensional Sawada–Kotera model using Lie symmetries analysis

    Article • Modern Physics Letters B, August 2024, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub, Shamoona Jabeen

  19. Optical soliton solutions and modulation instability for unstable conformable Schrödinger model

    Article • International Journal of Modern Physics C, July 2024, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  20. Well-posedness analysis and pseudo-Galerkin approximations using Tau Legendre algorithm for fractional systems of delay differential models regarding Hilfer (α,β)-framework set

    Article • PLOS One, June 2024, PLOS

    Prof. Omar Abu Arqub

  21. Delay volterra integrodifferential models of fractional orders and exponential kernels: Well-posedness theoretical results and Legendre–Galerkin shifted approximations

    Article • Modern Physics Letters B, May 2024, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  22. The computational orthogonal shifted Legendre–Galerkin approach for handling fractional delay differential problems via adapting fractional M-derivative

    Article • International Journal of Modern Physics C, April 2024, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  23. Existence, uniqueness, and galerkin shifted Legendre's approximation of time delays integrodifferential models by adapting the Hilfer fractional attitude

    Article • Heliyon, February 2024, Elsevier

    Prof. Omar Abu Arqub

  24. Pointwise numerical simulation of one-dimensional fractional sine-Gordon model in time-dependent variable using reproducing kernel Hilbert algorithm

    Article • January 2024, Wiley

    Prof. Omar Abu Arqub

  25. Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment

    Article • Fixed Point Theory and Algorithms for Sciences and Engineering, January 2024, Springer Science + Business Media

    Prof. Omar Abu Arqub

  26. Uncertain M-fractional differential problems: existence, uniqueness, and approximations using Hilbert reproducing technique provisioner with the case application: series resistor-inductor circuit

    Article • Physica Scripta, January 2024, Institute of Physics Publishing

    Prof. Omar Abu Arqub

  27. New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques

    Article • September 2023, MDPI AG

    Prof.Dr. Ahmet Bekir, Prof. Omar Abu Arqub

  28. Hilbert approximate solutions and fractional geometric behaviors of a dynamical fractional model of social media addiction affirmed by the fractional Caputo differential operator

    Article • Chaos Solitons & Fractals X, June 2023, Elsevier

    Prof. Omar Abu Arqub

  29. Stochastic integrodifferential models of fractional orders and Leffler nonsingular kernels: well-posedness theoretical results and Legendre Gauss spectral collocation approximations

    Article • Chaos Solitons & Fractals X, June 2023, Elsevier

    Prof. Omar Abu Arqub

  30. Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters

    Article • Journal of Function Spaces, April 2023, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  31. Exploring the Analytical Solutions to the Economical Model via Three Different Methods

    Article • Journal of Mathematics, April 2023, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub, Prof.Dr. Ahmet Bekir

  32. A NOVEL COLLECTIVE ALGORITHM USING CUBIC UNIFORM SPLINE AND FINITE DIFFERENCE APPROACHES TO SOLVING FRACTIONAL DIFFUSION SINGULAR WAVE MODEL THROUGH DAMPING-REACTION FORCES

    Article • Fractals, April 2023, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  33. A spline construction scheme for numerically solving fractional Bagley–Torvik and Painlevé models correlating initial value problems concerning the Caputo–Fabrizio derivative approach

    Article • International Journal of Modern Physics C, March 2023, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  34. Lie analysis and laws of conservation for the two-dimensional model of Newell–Whitehead–Segel regarding the Riemann operator fractional scheme in a time-independent variable

    Article • Arab Journal of Basic and Applied Sciences, February 2023, Taylor & Francis

    Prof. Omar Abu Arqub

  35. The novel cubic B-spline method for fractional Painlevé and Bagley-Trovik equations in the Caputo, Caputo-Fabrizio, and conformable fractional sense

    Article • Alexandria Engineering Journal, February 2023, Elsevier

    Prof. Omar Abu Arqub, Professor Praveen Agarwal

  36. New diverse types of soliton solutions to the Radhakrishnan-Kundu-Lakshmanan equation

    Article • AIMS Mathematics, January 2023, Tsinghua University Press

    Prof. Omar Abu Arqub, Prof.Dr. Ahmet Bekir

  37. AN EFFECTIVE SUSTAINABLE COLLOCATION METHOD FOR SOLVING REGULAR/SINGULAR SYSTEMS OF CONFORMABLE DIFFERENTIAL EQUATIONS SUBJECT TO INITIAL CONSTRAINT CONDITIONS

    Article • Journal of Applied Analysis & Computation, January 2023, Wilmington Scientific Publisher, LLC

    Prof. Omar Abu Arqub

  38. Adaptive the Dirichlet model of mobile/immobile advection/dispersion in a time-fractional sense with the reproducing kernel computational approach: Formulations and approximations

    Article • International Journal of Modern Physics B, December 2022, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  39. Fractional approximate solutions of 2D reaction–diffusion Brusselator model using the novel Laplace-optimized decomposition approach

    Article • International Journal of Modern Physics C, December 2022, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  40. Hilbert solution, iterative algorithms, convergence theoretical results, and error bound for the fractional Langevin model arising in fluids with Caputo’s independent derivative

    Article • Frontiers in Physics, December 2022, Frontiers

    Prof. Omar Abu Arqub

  41. Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing kernel scheme

    Article • Chinese Journal of Physics, December 2022, Elsevier

    Prof. Omar Abu Arqub

  42. Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation

    Article • Alexandria Engineering Journal, December 2022, Elsevier

    Prof. Omar Abu Arqub

  43. Fractional Conformable Stochastic Integrodifferential Equations: Existence, Uniqueness, and Numerical Simulations Utilizing the Shifted Legendre Spectral Collocation Algorithm

    Article • Mathematical Problems in Engineering, November 2022, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  44. Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space

    Article • Mathematical Sciences, November 2022, Springer Science + Business Media

    Prof. Omar Abu Arqub

  45. Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations

    Article • International Journal of Modern Physics C, November 2022, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  46. Analytical solutions of conformable Drinfel’d–Sokolov–Wilson and Boiti Leon Pempinelli equations via sine–cosine method

    Article • Results in Physics, November 2022, Elsevier

    Prof. Omar Abu Arqub

  47. Solitary wave solutions of Fitzhugh–Nagumo-type equations with conformable derivatives

    Article • Frontiers in Physics, October 2022, Frontiers

    Prof. Omar Abu Arqub, Prof.Dr. Ahmet Bekir

  48. On the Recovery of a Conformable Time-Dependent Inverse Coefficient Problem for Diffusion Equation of Periodic Constraints Type and Integral Over-Posed Data

    Article • Mathematical Problems in Engineering, October 2022, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  49. Fractional delay integrodifferential equations of nonsingular kernels: Existence, uniqueness, and numerical solutions using Galerkin algorithm based on shifted Legendre polynomials

    Article • International Journal of Modern Physics C, October 2022, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  50. A numerical combined algorithm in cubic B-spline method and finite difference technique for the time-fractional nonlinear diffusion wave equation with reaction and damping terms

    Article • Results in Physics, October 2022, Elsevier

    Prof. Omar Abu Arqub

  51. Fractional crossover delay differential equations of Mittag-Leffler kernel: Existence, uniqueness, and numerical solutions using the Galerkin algorithm based on shifted Legendre polynomials

    Article • Results in Physics, October 2022, Elsevier

    Prof. Omar Abu Arqub

  52. Lie symmetry analysis, explicit solutions, and conservation laws of the time-fractional Fisher equation in two-dimensional space

    Article • Journal of Ocean Engineering and Science, August 2022, Elsevier

    Prof. Omar Abu Arqub

  53. A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves

    Article • Alexandria Engineering Journal, July 2022, Elsevier

    Prof. Omar Abu Arqub

  54. A numerical method for solving conformable fractional integrodifferential systems of second-order, two-points periodic boundary conditions

    Article • Alexandria Engineering Journal, July 2022, Elsevier

    Prof. Omar Abu Arqub

  55. Analysis of Lie Symmetry, Explicit Series Solutions, and Conservation Laws for the Nonlinear Time-Fractional Phi-Four Equation in Two-Dimensional Space

    Article • International Journal of Applied and Computational Mathematics, May 2022, Springer Science + Business Media

    Prof. Omar Abu Arqub

  56. The Laplace Optimized Decomposition Method for Solving Systems of Partial Differential Equations of Fractional Order

    Article • International Journal of Applied and Computational Mathematics, February 2022, Springer Science + Business Media

    Prof. Omar Abu Arqub

  57. The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach

    Article • Demonstratio Mathematica, January 2022, De Gruyter

    Prof. Omar Abu Arqub

  58. A numerical algorithm in reproducing kernel-based approach for solving the inverse source problem of the time–space fractional diffusion equation

    Article • Partial Differential Equations in Applied Mathematics, December 2021, Elsevier

    Prof. Omar Abu Arqub

  59. A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations

    Article • Chaos Solitons & Fractals, September 2021, Elsevier

    Prof. Omar Abu Arqub

  60. The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems

    Article • Alexandria Engineering Journal, July 2021, Elsevier

    Prof. Omar Abu Arqub

  61. The B-spline collocation method for solving conformable initial value problems of non-singular and singular types

    Article • Alexandria Engineering Journal, July 2021, Elsevier

    Prof. Omar Abu Arqub

  62. Reproducing kernel Hilbert pointwise numerical solvability of fractional Sine-Gordon model in time-dependent variable with Dirichlet condition

    Article • Physica Scripta, June 2021, Institute of Physics Publishing

    Prof. Omar Abu Arqub

  63. The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique

    Article • Physica Scripta, June 2021, Institute of Physics Publishing

    Prof. Omar Abu Arqub

  64. Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications

    Article • Chaos Solitons & Fractals, May 2021, Elsevier

    Prof. Omar Abu Arqub

  65. Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin

    Article • Results in Physics, May 2021, Elsevier

    Prof. Omar Abu Arqub

  66. Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

    Article • Mathematical Methods in the Applied Sciences, March 2021, Wiley

    Prof. Omar Abu Arqub

  67. Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations

    Article • Mathematical Methods in the Applied Sciences, February 2021, Wiley

    Prof. Omar Abu Arqub

  68. Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator

    Article • January 2021, Authorea, Inc.

    Prof. Omar Abu Arqub

  69. Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

    Article • Mathematical Methods in the Applied Sciences, December 2020, Wiley

    Prof. Omar Abu Arqub

  70. Adaptation of kernel functions-based approach with ABC distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations

    Article • October 2020, Authorea, Inc.

    Prof. Omar Abu Arqub

  71. Approximate solutions of nonlinear fractional Kundu-Eckhaus and coupled fractional massive Thirring equations emerging in quantum field theory using conformable residual power series method

    Article • Physica Scripta, September 2020, Institute of Physics Publishing

    Prof. Omar Abu Arqub

  72. THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH

    Article • Fractals, September 2020, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  73. Solving space-fractional Cauchy problem by modified finite-difference discretization scheme

    Article • Alexandria Engineering Journal, August 2020, Elsevier

    Prof. Omar Abu Arqub

  74. Well-posedness of the inverse problem of time fractional heat equation in the sense of the Atangana-Baleanu fractional approach

    Article • Alexandria Engineering Journal, August 2020, Elsevier

    Prof. Omar Abu Arqub

  75. An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

    Article • Communications in Theoretical Physics, July 2020, Institute of Physics Publishing

    Prof. Omar Abu Arqub

  76. PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION

    Article • Fractals, July 2020, World Scientific Pub Co Pte Lt

    Prof. Omar Abu Arqub

  77. Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

    Article • Physica Scripta, June 2020, Institute of Physics Publishing

    Prof. Omar Abu Arqub

  78. A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method

    Article • Mathematics, June 2020, MDPI AG

    Prof. Omar Abu Arqub

  79. Soliton Solutions of a Nonlinear Fractional Sasa-Satsuma Equation in Monomode Optical Fibers

    Article • Applied Mathematics & Information Sciences, May 2020, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  80. Residual Series Representation Algorithm for Solving Fuzzy Duffing Oscillator Equations

    Article • Symmetry, April 2020, MDPI AG

    Prof. Omar Abu Arqub

  81. An Attractive Analytic-Numeric Approach for the Solutions of Uncertain Riccati Differential Equations using Residual Power Series

    Article • Applied Mathematics & Information Sciences, March 2020, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  82. An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz’s derivative operator

    Article • Physica A Statistical Mechanics and its Applications, February 2020, Elsevier

    Prof. Omar Abu Arqub

  83. Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

    Article • Soft Computing, January 2020, Springer Science + Business Media

    Prof. Omar Abu Arqub

  84. NUMERICAL SOLUTIONS OF RIESZ FRACTIONAL DIFFUSION AND ADVECTION-DISPERSION EQUATIONS IN POROUS MEDIA USING ITERATIVE REPRODUCING KERNEL ALGORITHM

    Article • Journal of Porous Media, January 2020, Begell House

    Prof. Omar Abu Arqub

  85. Residual Power Series Approach for Solving Linear Fractional Swift-Hohenberg Problems

    Article • January 2020, Springer Science + Business Media

    Prof. Omar Abu Arqub

  86. Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches

    Article • January 2020, Springer Science + Business Media

    Prof. Omar Abu Arqub

  87. Fitted Spectral Tau Jacobi Technique for Solving Certain Classes of Fractional Differential Equations,

    Article • Applied Mathematics & Information Sciences, November 2019, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  88. Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

    Article • Chaos Solitons & Fractals, September 2019, Elsevier

    Prof. Omar Abu Arqub

  89. Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

    Article • Chaos Solitons & Fractals, August 2019, Elsevier

    Prof. Omar Abu Arqub

  90. Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, July 2019, Emerald

    Prof. Omar Abu Arqub

  91. Analytical Solutions of Fuzzy Fractional Boundary Value Problem of Order 2α by Using RKHS Algorithm

    Article • Applied Mathematics & Information Sciences, July 2019, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  92. Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis

    Article • Mathematical Methods in the Applied Sciences, April 2019, Wiley

    Prof. Omar Abu Arqub

  93. Application of Power Series Method for Solving Obstacle Problem of Fractional Order

    Article • April 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Omar Abu Arqub

  94. Solving Fuzzy Fractional IVPs of order 2β by Residual Power Series Algorithm

    Article • April 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Omar Abu Arqub

  95. Numerical solutions of singular time-fractional PDEs

    Article • April 2019, De Gruyter

    Prof. Omar Abu Arqub

  96. Applications in Engineering, Life and Social Sciences, Part A

    Article • March 2019, De Gruyter

    Antonio Lopes, Prof. Omar Abu Arqub

  97. Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

    Article • Fundamenta Informaticae, March 2019, IOS Press

    Prof. Omar Abu Arqub

  98. Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis

    Article • Fundamenta Informaticae, March 2019, IOS Press

    Prof. Omar Abu Arqub

  99. Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates

    Article • Applied Mathematics and Computation, February 2019, Elsevier

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  100. Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations

    Article • January 2019, American Institute of Physics

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  101. APPLICATION OF REPRODUCING KERNEL ALGORITHM FOR SOLVING DIRICHLET TIME-FRACTIONAL DIFFUSION-GORDON TYPES EQUATIONS IN POROUS MEDIA

    Article • Journal of Porous Media, January 2019, Begell House

    Prof. Omar Abu Arqub

  102. Multistep Approach for Nonlinear Fractional Bloch System Using Adomian Decomposition Techniques

    Article • January 2019, Springer Science + Business Media

    Prof. Omar Abu Arqub

  103. Soft Numerical Algorithm with Convergence Analysis for Time-Fractional Partial IDEs Constrained by Neumann Conditions

    Article • January 2019, Springer Science + Business Media

    Prof. Omar Abu Arqub

  104. Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in hilbert space with error analysis

    Article • Filomat, January 2019, National Library of Serbia

    Prof. Omar Abu Arqub

  105. Atangana–Baleanu fractional approach to the solutions of Bagley–Torvik and Painlevé equations in Hilbert space

    Article • Chaos Solitons & Fractals, December 2018, Elsevier

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  106. Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator

    Article • Chaos Solitons & Fractals, December 2018, Elsevier

    Prof. Omar Abu Arqub

  107. Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

    Article • CALCOLO, July 2018, Springer Science + Business Media

    Prof. Omar Abu Arqub

  108. Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates

    Article • Nonlinear Dynamics, July 2018, Springer Science + Business Media

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  109. Fuzzy Calculus Theory and Its Applications

    Article • Complexity, June 2018, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub, Adjunct Professor Carla M.A. Pinto, Professor Carla M. A. Pinto

  110. Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, April 2018, Emerald

    Prof. Omar Abu Arqub

  111. Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates

    Article • Korean Journal of Computational & Applied Mathematics, March 2018, Springer Science + Business Media

    Prof. Omar Abu Arqub

  112. Modeling and Analyzing Neural Networks Using Reproducing Kernel Hilbert Space Algorithm

    Article • Applied Mathematics & Information Sciences, January 2018, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  113. Numerical Solutions of Linear Time-fractional Klein-Gordon Equation by Using Power Series Approach

    Article • SSRN Electronic Journal, January 2018, Elsevier

    Prof. Omar Abu Arqub

  114. Solutions of Volterra Singular Time-Fractional PIDEs

    Article • SSRN Electronic Journal, January 2018, Elsevier

    Prof. Omar Abu Arqub

  115. Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space

    Article • Numerical Methods for Partial Differential Equations, December 2017, Wiley

    Prof. Omar Abu Arqub

  116. Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

    Article • Numerical Methods for Partial Differential Equations, September 2017, Wiley

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  117. A Novel Iterative Numerical Algorithm for the Solutions of Systems of Fuzzy Initial Value Problems

    Article • Applied Mathematics & Information Sciences, July 2017, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  118. Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system

    Article • Waves Wavelets and Fractals, April 2017, De Gruyter

    Prof. Omar Abu Arqub

  119. Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions

    Article • Computers & Mathematics with Applications, March 2017, Elsevier

    Prof. Omar Abu Arqub

  120. The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs

    Article • Neural Computing and Applications, January 2017, Springer Science + Business Media

    Prof. Omar Abu Arqub

  121. Analytic-numeric treatment for handling system of second-order, three-point BVPs

    Article • January 2017, American Institute of Physics

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  122. Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method

    Article • Applied Mathematics and Computation, December 2016, Elsevier

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  123. An Efficient Computational Method for Handling Singular Second-Order, Three Points Volterra Integrodifferential Equations

    Article • Journal of Computational and Theoretical Nanoscience, November 2016, American Scientific Publishers

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  124. Analytical Approximations of Partial Differential Equations of Fractional Order with Multistep Approach

    Article • Journal of Computational and Theoretical Nanoscience, November 2016, American Scientific Publishers

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  125. Analytical Simulation of Singular Second-Order, Three Points Boundary Value Problems for Fredholm Operator Using Computational Kernel Algorithm

    Article • Journal of Computational and Theoretical Nanoscience, November 2016, American Scientific Publishers

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  126. Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm

    Article • Fundamenta Informaticae, September 2016, IOS Press

    Prof. Omar Abu Arqub

  127. Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates

    Article • Neural Computing and Applications, July 2016, Springer Science + Business Media

    Prof. Omar Abu Arqub

  128. Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

    Article • Soft Computing, July 2016, Springer Science + Business Media

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  129. The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations

    Article • Mathematical Methods in the Applied Sciences, May 2016, Wiley

    Prof. Omar Abu Arqub

  130. A Residual Power Series Technique for Solving Systems of Initial Value Problems

    Article • Applied Mathematics & Information Sciences, March 2016, Natural Sciences Publishing

    Prof. Omar Abu Arqub

  131. An Efficient Analytical Method for Solving Singular Initial Value Problems of Nonlinear Systems

    Article • Applied Mathematics & Information Sciences, March 2016, Natural Sciences Publishing

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  132. Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

    Article • Neural Computing and Applications, December 2015, Springer Science + Business Media

    Prof. Omar Abu Arqub

  133. Approximate analytical solution of the nonlinear fractional KdV–Burgers equation: A new iterative algorithm

    Article • Journal of Computational Physics, July 2015, Elsevier

    Prof. Omar Abu Arqub

  134. Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations

    Article • Journal of Computational Physics, July 2015, Elsevier

    Prof. Omar Abu Arqub

  135. Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

    Article • Soft Computing, May 2015, Springer Science + Business Media

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  136. Numerical Simulation for Fuzzy Fredholm Integral Equations Using Reproducing Kernel Algorithm

    Article • May 2015, Alzaytoonah University of Jordan

    Prof. Omar Abu Arqub

  137. A novel expansion iterative method for solving linear partial differential equations of fractional order

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Prof. Omar Abu Arqub

  138. A general form of the generalized Taylor’s formula with some applications

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  139. Reproducing Kernel Algorithm for the Analytical-Numerical Solutions of Nonlinear Systems of Singular Periodic Boundary Value Problems

    Article • Mathematical Problems in Engineering, January 2015, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  140. Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type

    Article • Mathematical Problems in Engineering, January 2015, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  141. An Optimization Algorithm for Solving Systems of Singular Boundary Value Problems

    Article • Applied Mathematics & Information Sciences, November 2014, Scientific Publishing Center

    Prof. Omar Abu Arqub

  142. Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations

    Article • Applied Mathematics and Computation, September 2014, Elsevier

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  143. Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm

    Article • Information Sciences, September 2014, Elsevier

    Prof. Omar Abu Arqub

  144. A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm–Volterra type

    Article • Applied Mathematics and Computation, August 2014, Elsevier

    Prof. Omar Abu Arqub

  145. Multiple Solutions of Nonlinear Boundary Value Problems of Fractional Order: A New Analytic Iterative Technique

    Article • Entropy, January 2014, MDPI AG

    Prof. Omar Abu Arqub

  146. Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

    Article • Advances in Mathematical Physics, January 2014, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  147. A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems

    Article • Journal of Applied Mathematics, January 2014, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  148. Application of Continuous Genetic Algorithm for Nonlinear System of Second-Order Boundary Value Problems

    Article • Applied Mathematics & Information Sciences, January 2014, Scientific Publishing Center

    Prof. Omar Abu Arqub

  149. Optimization Solution of Troesch’s and Bratu’s Problems of Ordinary Type Using Novel Continuous Genetic Algorithm

    Article • Discrete Dynamics in Nature and Society, January 2014, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  150. New Results on Fractional Power Series: Theories and Applications

    Article • Entropy, December 2013, MDPI AG

    Prof. Omar Abu Arqub

  151. Solving fractional two-point boundary value problems using continuous analytic method

    Article • Ain Shams Engineering Journal, September 2013, Elsevier

    Prof. Omar Abu Arqub

  152. Analytical Solutions of Fuzzy Initial Value Problems by HAM

    Article • Applied Mathematics & Information Sciences, September 2013, Scientific Publishing Center

    Prof. Omar Abu Arqub

  153. Solving Fredholm integro–differential equations using reproducing kernel Hilbert space method

    Article • Applied Mathematics and Computation, May 2013, Elsevier

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  154. Solution of the fractional epidemic model by homotopy analysis method

    Article • Journal of King Saud University - Science, January 2013, Elsevier

    Prof. Omar Abu Arqub

  155. A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations

    Article • Mathematical Problems in Engineering, January 2013, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  156. A Genetic Algorithm Approach for Prediction of Linear Dynamical Systems

    Article • Mathematical Problems in Engineering, January 2013, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  157. A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  158. A Reliable Analytical Method for Solving Higher-Order Initial Value Problems

    Article • Discrete Dynamics in Nature and Society, January 2013, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  159. Series Solution of Fuzzy Differential Equations under Strongly Generalized Differentiability

    Article • Journal of Advanced Research in Applied Mathematics, January 2013, Institute of Advanced Scientific Research

    Prof. Omar Abu Arqub

  160. Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

    Article • Abstract and Applied Analysis, January 2012, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub, Dr. Mohammed Al-Smadi

  161. Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations

    Article • Discrete Dynamics in Nature and Society, January 2012, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub

  162. Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm

    Article • Abstract and Applied Analysis, January 2012, Hindawi Publishing Corporation

    Prof. Omar Abu Arqub