All Stories

  1. Mathematical modeling and performance evaluation of Ducted Horizontal-axis Helical Wind Turbines: Insights into aerodynamics and efficiency

    Article • PLoS ONE, June 2024, PLOS

    Professor Dumitru Baleanu, Dr Rabha W. Ibrahim

  2. Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, February 2023, American Institute of Physics

    Chandrali Baishya, P. Veeresha, Professor Dumitru Baleanu, Manisha Krishna Naik

  3. Existence of measure pseudo-almost automorphic functions and applications to impulsive integro-differential equation

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2021, American Institute of Physics

    Professor Dumitru Baleanu

  4. Influence of interfacial electrokinetic on MHD radiative nanofluid flow in a permeable microchannel with Brownian motion and thermophoresis effects

    Article • Open Physics, November 2020, De Gruyter

    Professor Dumitru Baleanu, Kottakkaran Sooppy Nisar

  5. The general bilinear techniques for studying the propagation of mixed-type periodic and lump-type solutions in a homogenous-dispersive medium

    Article • AIP Advances, October 2020, American Institute of Physics

    Professor Dumitru Baleanu

  6. Closed-form wave structures of the space-time fractional Hirota–Satsuma coupled KdV equation with nonlinear physical phenomena

    Article • Open Physics, September 2020, De Gruyter

    Professor Dumitru Baleanu, Dr. Md. Nur Alam

  7. Analytical mathematical schemes: Circular rod grounded via transverse Poisson’s effect and extensive wave propagation on the surface of water

    Article • Open Physics, September 2020, De Gruyter

    Professor Dumitru Baleanu

  8. Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems

    Article • Open Physics, August 2020, De Gruyter

    Professor Dumitru Baleanu

  9. Novel numerical analysis for nonlinear advection–reaction–diffusion systems

    Article • Open Physics, May 2020, De Gruyter

    Muhammad Rafiq, Professor Dumitru Baleanu

  10. Determination of an impulsive diffusion operator from interior spectral data

    Article • Analysis, March 2020, De Gruyter

    Professor Dumitru Baleanu

  11. Comments on: “The failure of certain fractional calculus operators in two physical models” by M. Ortigueira, V. Martynyuk, M. Fedula and J.A.T. Machado

    Article • Fractional Calculus and Applied Analysis, February 2020, De Gruyter

    Professor Dumitru Baleanu

  12. Existence results for an impulsive neutral integro-differential equations in Banach spaces

    Article • Analele Universitatii Ovidius Constanta - Seria Matematica, December 2019, De Gruyter

    Professor Dumitru Baleanu, usha v

  13. Some further results of the laplace transform for variable–order fractional difference equations

    Article • Fractional Calculus and Applied Analysis, December 2019, De Gruyter

    Professor Dumitru Baleanu

  14. An Avant-Garde Handling of Temporal-Spatial Fractional Physical Models

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, October 2019, De Gruyter

    Professor Dumitru Baleanu

  15. Spatio-temporal numerical modeling of reaction-diffusion measles epidemic system

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, October 2019, American Institute of Physics

    Professor Dumitru Baleanu, Muhammad Rafiq

  16. A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2019, American Institute of Physics

    Professor Dumitru Baleanu

  17. Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, August 2019, American Institute of Physics

    Professor Dumitru Baleanu, Prof. Dr. Massimiliano Ferrara , Dr. Mehdi Salimi, Dr. Mehdi Salimi

  18. A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, August 2019, American Institute of Physics

    Professor Dumitru Baleanu

  19. New variable-order fractional chaotic systems for fast image encryption

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, August 2019, American Institute of Physics

    Professor Dumitru Baleanu

  20. A Competitive Numerical Analysis for Stochastic HIV/AIDS Epidemic Model in a Two-Sex Population

    Article • IET Systems Biology, July 2019, the Institution of Engineering and Technology (the IET)

    Professor Dumitru Baleanu, Muhammad Arif, Muhammad Rafiq, Kaleem Ashraf, Ali Raza

  21. A Competitive Analysis for Stochastic Influenza Model with Constant Vaccination Strategy

    Article • IET Systems Biology, July 2019, the Institution of Engineering and Technology (the IET)

    Muhammad Arif, Muhammad Rafiq, Professor Dumitru Baleanu, Ali Raza

  22. Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel

    Article • Journal of Taibah University for Science, July 2019, Taylor & Francis

    Professor Dumitru Baleanu, professor Mustafa Bayram

  23. Analysis for Fractional Order Predator-Prey Model with Uncertainty

    Article • IET Systems Biology, July 2019, the Institution of Engineering and Technology (the IET)

    SSN Perera, Professor Dumitru Baleanu, THANGAPANDI K, Narayanamoorthy Samayan

  24. Magnetohydrodynamic mixed convection flow of Jeffery fluid with thermophoresis, Soret and Dufour effects and convective condition

    Article • AIP Advances, March 2019, American Institute of Physics

    Professor Dumitru Baleanu

  25. Fractional impulsive differential equations: Exact solutions, integral equations and short memory case

    Article • Fractional Calculus and Applied Analysis, February 2019, De Gruyter

    Professor Dumitru Baleanu

  26. Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, February 2019, American Institute of Physics

    Professor Dumitru Baleanu

  27. Grey and black optical solitary waves, and modulation instability analysis to the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity

    Article • Journal of Modern Optics, January 2019, Taylor & Francis

    Professor Dumitru Baleanu

  28. A uniqueness result for differential pencils with discontinuities from interior spectral data

    Article • Analysis, January 2019, De Gruyter

    Professor Dumitru Baleanu

  29. Fractional modeling of blood ethanol concentration system with real data application

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, January 2019, American Institute of Physics

    Professor Dumitru Baleanu

  30. On Numerical Solution Of The Time Fractional Advection-Diffusion Equation Involving Atangana-Baleanu-Caputo Derivative

    Article • Open Physics, January 2019, De Gruyter

    Professor Dumitru Baleanu

  31. Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

    Article • Open Physics, December 2018, De Gruyter

    Professor Dumitru Baleanu, Dr. Ramazan Ozarslan

  32. Inverse problems for the impulsive Sturm–Liouville operator with jump conditions

    Article • Inverse Problems in Science and Engineering, December 2018, Taylor & Francis

    Nematollah Kadkhoda, Professor Dumitru Baleanu

  33. On the boundary value problem in the nonlinear theory of dipolar elastic materials

    Article • Mechanics of Advanced Materials and Structures, December 2018, Taylor & Francis

    Professor Marin Marin, Professor Dumitru Baleanu

  34. Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2018, American Institute of Physics

    Professor Dumitru Baleanu

  35. Convolution theorems associated with some integral operators and convolutions

    Article • Mathematical Methods in the Applied Sciences, October 2018, Wiley

    Professor Dumitru Baleanu

  36. Quaternion fourier integral operators for spaces of generalized quaternions

    Article • Mathematical Methods in the Applied Sciences, October 2018, Wiley

    Professor Dumitru Baleanu

  37. Optimal chemotherapy and immunotherapy schedules for a cancer-obesity model with Caputo time fractional derivative

    Article • Mathematical Methods in the Applied Sciences, October 2018, Wiley

    Professor Dumitru Baleanu

  38. Dynamics of optical solitons, multipliers and conservation laws to the nonlinear schrödinger equation in (2+1)-dimensions with non-Kerr law nonlinearity

    Article • Journal of Modern Optics, September 2018, Taylor & Francis

    Prof Fairouz Tf Tchiee, Professor Dumitru Baleanu

  39. Adaptive Fractional Order Blood Glucose Regulator Based on High Order Sliding Mode Observer

    Article • IET Systems Biology, July 2018, the Institution of Engineering and Technology (the IET)

    Professor Dumitru Baleanu

  40. Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation

    Article • Open Physics, June 2018, De Gruyter

    Professor Dumitru Baleanu

  41. Solving FDEs with Caputo-Fabrizio derivative by operational matrix based on Genocchi polynomials

    Article • Mathematical Methods in the Applied Sciences, June 2018, Wiley

    Professor Dumitru Baleanu, Professor Hossein Jafari

  42. Lie symmetry analysis and conservation laws for the time fractional simplified modified Kawahara equation

    Article • Open Physics, May 2018, De Gruyter

    Professor Dumitru Baleanu

  43. Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation

    Article • Waves in Random and Complex Media, February 2018, Taylor & Francis

    Professor Dumitru Baleanu

  44. Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach

    Article • Optimal Control Applications and Methods, January 2018, Wiley

    Professor Dumitru Baleanu

  45. A reliable mixed method for singular integro-differential equations of non-integer order

    Article • Mathematical Modelling of Natural Phenomena, January 2018, EDP Sciences

    Professor Dumitru Baleanu

  46. Application of ANNs approach for wave-like and heat-like equations

    Article • Open Physics, December 2017, De Gruyter

    Professor Dumitru Baleanu

  47. Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrödinger’s equation for Davydov solitons

    Article • Journal of Electromagnetic Waves and Applications, December 2017, Taylor & Francis

    Professor Dumitru Baleanu

  48. Spectral technique for solving variable-order fractional Volterra integro-differential equations

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

    Professor Dumitru Baleanu

  49. New analytical solutions for conformable fractional PDEs arising in mathematical physics by exp-function method

    Article • Open Physics, November 2017, De Gruyter

    yucel cenesiz, Professor Dumitru Baleanu

  50. A new iterative algorithm on the time-fractional Fisher equation: Residual power series method

    Article • Advances in Mechanical Engineering, September 2017, SAGE Publications

    Professor Dumitru Baleanu

  51. A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves

    Article • Mathematical Methods in the Applied Sciences, May 2017, Wiley

    Professor Dumitru Baleanu

  52. Schrödinger equation involving fractional operators with non-singular kernel

    Article • Journal of Electromagnetic Waves and Applications, April 2017, Taylor & Francis

    Professor Dumitru Baleanu

  53. Steady periodic response for a vibration system with distributed order derivatives to periodic excitation

    Article • Journal of Vibration and Control, March 2017, SAGE Publications

    Professor Dumitru Baleanu

  54. Analysis of a New Fractional Model for Damped Bergers’ Equation

    Article • Open Physics, March 2017, De Gruyter

    Professor Dumitru Baleanu

  55. Existence Results for Fractional Evolution Systems with Riemann-Liouville Fractional Derivatives and Nonlocal Conditions

    Article • Fundamenta Informaticae, March 2017, IOS Press

    Professor Dumitru Baleanu

  56. A novel difference schemes for analyzing the fractional Navier-Stokes equations

    Article • Analele Universitatii Ovidius Constanta - Seria Matematica, January 2017, De Gruyter

    Professor Dumitru Baleanu

  57. Regular fractional differential equations in the Sobolev space

    Article • Fractional Calculus and Applied Analysis, January 2017, De Gruyter

    Professor Dumitru Baleanu, Ekin Uğurlu, Kenan TAS

  58. An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations

    Article • Complexity, January 2017, Hindawi Publishing Corporation

    Professor Dumitru Baleanu

  59. Measurement of para-xylene diffusivity in zeolites and analyzing desorption curves using the Mittag-Leffler function

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Dumitru Baleanu

  60. Integral inequalities involving generalized Erdélyi-Kober fractional integral operators

    Article • Open Mathematics, January 2016, De Gruyter

    Professor Dumitru Baleanu, Dr. Sunil Dutt Purohit

  61. On combined optical solitons of the one-dimensional Schrödinger’s equation with time dependent coefficients

    Article • Open Physics, January 2016, De Gruyter

    Professor Dumitru Baleanu

  62. On soliton solutions of the Wu-Zhang system

    Article • Open Physics, January 2016, De Gruyter

    Professor Dumitru Baleanu, Prof Fairouz Tf Tchiee

  63. Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal

    Article • Open Physics, January 2016, De Gruyter

    Professor Abdon Atangana, Professor Dumitru Baleanu

  64. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Jose Tenreiro Machado, Prof. Virginia S. Kiryakova, Professor Dumitru Baleanu, Prof. Dr. Kai Diethelm, Prof. Roberto Garrappa, Prof. Dr. Yuri Luchko, Prof., Dr Raoul R. Nigmatullin, Prof. Manuel D Ortigueira, Professor Vasily E Tarasov, Teodor Atanackovic, Rachid Malti

  65. Non-local Integrals and Derivatives on Fractal Sets with Applications

    Article • Open Physics, January 2016, De Gruyter

    Professor Dumitru Baleanu, Prof Alireza Khalili Golmankhaneh

  66. Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

    Article • Analele Universitatii Ovidius Constanta - Seria Matematica, January 2016, De Gruyter

    Professor Dumitru Baleanu

  67. On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives

    Article • Analele Universitatii Ovidius Constanta - Seria Matematica, January 2016, De Gruyter

    Professor Dumitru Baleanu

  68. Lattice fractional diffusion equation of random order

    Article • Mathematical Methods in the Applied Sciences, November 2015, Wiley

    Professor Dumitru Baleanu

  69. A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions

    Article • Mathematical Methods in the Applied Sciences, March 2015, Wiley

    Professor Dumitru Baleanu

  70. Image encryption technique based on fractional chaotic time series

    Article • Journal of Vibration and Control, March 2015, SAGE Publications

    Professor Dumitru Baleanu

  71. A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

    Article • Journal of Vibration and Control, March 2015, SAGE Publications

    Professor Dumitru Baleanu

  72. A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Professor Hossein Jafari, Professor Dumitru Baleanu

  73. Some existence results on nonlinear fractional differential equations

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, April 2013, Royal Society Publishing

    Professor Dumitru Baleanu

  74. Fractional Newtonian mechanics

    Article • Open Physics, January 2010, De Gruyter

    Professor Dumitru Baleanu, Prof Alireza Khalili Golmankhaneh