All Stories

  1. Stability Results for Stochastic Delay Differential Equations in the Framework of Conformable Fractional Derivatives
  2. On behavior of solution for delta fractional differences associated with special functions
  3. A Novel Hybrid Approach for Obtaining Approximate Series and Exact Solutions to the Caputo Fractional Black-Scholes Equations
  4. An Analytical Algebraic Method for Solving Nonlinear Fractional Differential Equations with Conformable Fractional Derivatives
  5. On the delta Mittag-Leffler functions and its application in monotonic analysis
  6. Fractional Analysis of Coefficient Estimates for Starlike Functions in Shell-Like Domains
  7. Convexity analysis of sequential fractional difference operators via transference principle
  8. ABUNDANT SOLITONS SOLUTIONS OF THE (2+1)-DIMENSIONAL KADOMTSEV- PETVIASHVILI-MODIFIED EQUAL WIDTH MODEL
  9. Modeling and Neural Network Approximation of Asymptotic Behavior for Delta Fractional Difference Equations with Mittag-Leffler Kernels
  10. Finite difference β-fractional approach for solving the time-fractional FitzHugh–Nagumo equation
  11. SOLVING TIME-FRACTIONAL FISHER MODELS BY NON-POLYNOMIAL SPLINES IN TERMS OF LOGARITHMIC DERIVATIVES
  12. Generalization of Ramsey Number for Cycle with Pendant Edges
  13. Non-Similar Analysis of Boundary Layer Flow and Heat Transfer in Non-Newtonian Hybrid Nanofluid over a Cylinder with Viscous Dissipation Effects
  14. Positivity and uniqueness of solutions for Riemann–Liouville fractional problem of delta types
  15. Exploring a Novel Approach to Deferred Nörlund Statistical Convergence
  16. Hyers–Ulam–Rassias Stability of Functional Equations with Integrals in B-Metric Frameworks
  17. Novel Insights into the Theory of Sequence Spaces for Fuzzy Numbers via Bessel Functions
  18. High-Accuracy Solutions to the Time-Fractional KdV–Burgers Equation Using Rational Non-Polynomial Splines
  19. Hyperbolic Non-Polynomial Spline Approach for Time-Fractional Coupled KdV Equations: A Computational Investigation
  20. Weighted Statistical Convergence and Cluster Points: The Fibonacci Sequence-Based Approach Using Modulus Functions
  21. UNIQUENESS RESULTS BASED ON DELTA FRACTIONAL OPERATORS FOR CERTAIN BOUNDARY VALUE PROBLEMS
  22. Improved Fractional Differences with Kernels of Delta Mittag–Leffler and Exponential Functions
  23. Hamiltonian Formulation for Continuous Systems with Second-Order Derivatives: A Study of Podolsky Generalized Electrodynamics
  24. Orthogonal Stability and Solution of a Three-Variable Functional Equation in Extended Banach Spaces
  25. Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting
  26. Efficient Study on Westervelt-Type Equations to Design Metamaterials via Symmetry Analysis
  27. Theoretical Investigation of Fractional Estimations in Liouville–Caputo Operators of Mixed Order with Applications
  28. Advanced Methods for Conformable Time-Fractional Differential Equations: Logarithmic Non-Polynomial Splines
  29. Maximum and Minimum Results for the Green’s Functions in Delta Fractional Difference Settings
  30. Analytical and approximate monotone solutions of the mixed order fractional nabla operators subject to bounded conditions
  31. Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator
  32. ANALYSIS SEQUENTIAL FRACTIONAL DIFFERENCES AND RELATED MONOTONICITY RESULTS
  33. On existence of certain delta fractional difference models
  34. Construction of Soliton Solutions of Time-Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation with Painlevé Analysis in Plasma Physics
  35. Some fractional-order modeling and analysis of the transmission dynamics together with prevention controls
  36. On Multiple-Type Wave Solutions for the Nonlinear Coupled Time-Fractional Schrödinger Model
  37. Some New Fractional Inequalities Defined Using cr-Log-h-Convex Functions and Applications
  38. Some Properties of a Falling Function and Related Inequalities on Green’s Functions
  39. Extension of Cubic B-Spline for Solving the Time-Fractional Allen–Cahn Equation in the Context of Mathematical Physics
  40. Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators
  41. The Rishi Transform method for solving multi-high order fractional differential equations with constant coefficients
  42. Some positive results for exponential-kernel difference operators of Riemann-Liouville type
  43. Efficient Analytical Algorithms to Study Fokas Dynamical Models Involving M-truncated Derivative
  44. Approximation of sequential fractional systems of Liouville–Caputo type by discrete delta difference operators
  45. A Novel Quintic B-Spline Technique for Numerical Solutions of the Fourth-Order Singular Singularly-Perturbed Problems
  46. Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach
  47. A Family of Holomorphic and m-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems
  48. Results on Minkowski-Type Inequalities for Weighted Fractional Integral Operators
  49. Theoretical and numerical computations of convexity analysis for fractional differences using lower boundedness
  50. Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag-Leffler kernels
  51. Dynamical Study of Coupled Riemann Wave Equation Involving Conformable, Beta, and M-Truncated Derivatives via Two Efficient Analytical Methods
  52. New Numerical Results on Existence of Volterra–Fredholm Integral Equation of Nonlinear Boundary Integro-Differential Type
  53. In Vivo HIV Dynamics, Modeling the Interaction of HIV and Immune System via Non-Integer Derivatives
  54. Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions
  55. On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
  56. A Study of Positivity Analysis for Difference Operators in the Liouville–Caputo Setting
  57. A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville–Caputo Family
  58. On convexity analysis for discrete delta Riemann–Liouville fractional differences analytically and numerically
  59. Some novel existence and uniqueness results for the Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions and their application
  60. Inequalities for m-polynomial exponentially s-type convex functions in fractional calculus
  61. On analysing discrete sequential operators of fractional order and their monotonicity results
  62. Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type
  63. Application of trigonometric B-spline functions for solving Caputo time fractional gas dynamics equation
  64. A comprehensive subclass of bi-univalent functions defined by a linear combination and satisfying subordination conditions
  65. Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions
  66. Heat Transfer of Buoyancy and Radiation on the Free Convection Boundary Layer MHD Flow across a Stretchable Porous Sheet
  67. Modified Inequalities on Center-Radius Order Interval-Valued Functions Pertaining to Riemann–Liouville Fractional Integrals
  68. Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions
  69. Bivariate discrete Mittag-Leffler functions with associated discrete fractional operators
  70. New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators
  71. New Hermite–Hadamard Type Inequalities in Connection with Interval-Valued Generalized Harmonically (h1,h2)-Godunova–Levin Functions
  72. Modified Fractional Difference Operators Defined Using Mittag-Leffler Kernels
  73. Monotonicity Results for Nabla Riemann–Liouville Fractional Differences
  74. Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators
  75. AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES
  76. Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions
  77. Existence of solutions for a class of nonlinear fractional difference equations of the Riemann–Liouville type
  78. Hadamard–Mercer, Dragomir–Agarwal–Mercer, and Pachpatte–Mercer Type Fractional Inclusions for Convex Functions with an Exponential Kernel and Their Applications
  79. New Riemann–Liouville Fractional-Order Inclusions for Convex Functions via Interval-Valued Settings Associated with Pseudo-Order Relations
  80. New Generalized Class of Convex Functions and Some Related Integral Inequalities
  81. New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
  82. On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel
  83. Some New Estimates on Coordinates of Left and Right Convex Interval-Valued Functions Based on Pseudo Order Relation
  84. Reverse Minkowski Inequalities Pertaining to New Weighted Generalized Fractional Integral Operators
  85. On Convexity, Monotonicity and Positivity Analysis for Discrete Fractional Operators Defined Using Exponential Kernels
  86. Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators
  87. Some new versions of integral inequalities for log-preinvex fuzzy-interval-valued functions through fuzzy order relation
  88. New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel
  89. On some generalized Raina-type fractional-order integral operators and related Chebyshev inequalities
  90. Positivity and monotonicity results for discrete fractional operators involving the exponential kernel
  91. Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness
  92. Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions
  93. Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types
  94. Interval valued Hadamard-Fejér and Pachpatte Type inequalities pertaining to a new fractional integral operator with exponential kernel
  95. Analysis of positivity results for discrete fractional operators by means of exponential kernels
  96. Relationships between the discrete Riemann-Liouville and Liouville-Caputo fractional differences and their associated convexity results
  97. Thermal boundary layer analysis of MHD nanofluids across a thin needle using non-linear thermal radiation
  98. Positivity analysis for mixed order sequential fractional difference operators
  99. Monotonicity and extremality analysis of difference operators in Riemann-Liouville family
  100. Analytical and numerical negative boundedness of fractional differences with Mittag–Leffler kernel
  101. Hermite-Hadamard-type Inequalities for Conformable Integrals
  102. Solutions of General Fractional-Order Differential Equations by Using the Spectral Tau Method
  103. Integral Inequalities for Generalized Harmonically Convex Functions in Fuzzy-Interval-Valued Settings
  104. Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
  105. Fuzzy Mixed Variational-like and Integral Inequalities for Strongly Preinvex Fuzzy Mappings
  106. Some Integral Inequalities for Generalized Convex Fuzzy-Interval-Valued Functions via Fuzzy Riemann Integrals
  107. On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis
  108. Discrete Prabhakar fractional difference and sum operators
  109. Existence and uniqueness of a class of uncertain Liouville-Caputo fractional difference equations
  110. Numerical computations and theoretical investigations of a dynamical system with fractional order derivative
  111. Some New Fractional Estimates of Inequalities for LR-p-Convex Interval-Valued Functions by Means of Pseudo Order Relation
  112. Fractional Integral Inequalities for Exponentially Nonconvex Functions and Their Applications
  113. On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus
  114. On Riemann—Liouville and Caputo Fractional Forward Difference Monotonicity Analysis
  115. Fractional Weighted Ostrowski-Type Inequalities and Their Applications
  116. Hermite–Hadamard integral inequalities on coordinated convex functions in quantum calculus
  117. Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
  118. Some Hermite–Hadamard and Opial dynamic inequalities on time scales
  119. Difference monotonicity analysis on discrete fractional operators with discrete generalized Mittag-Leffler kernels
  120. New Hermite–Hadamard Inequalities in Fuzzy-Interval Fractional Calculus and Related Inequalities
  121. Midpoint Inequalities in Fractional Calculus Defined Using Positive Weighted Symmetry Function Kernels
  122. On a new type of fractional difference operators on h-step isolated time scales
  123. Some weighted Simpson type inequalities for differentiable s–convex functions and their applications
  124. Some Higher-Degree Lacunary Fractional Splines in the Approximation of Fractional Differential Equations
  125. Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm
  126. New discrete inequalities of Hermite–Hadamard type for convex functions
  127. General Raina fractional integral inequalities on coordinates of convex functions
  128. On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
  129. New Chebyshev type inequalities via a general family of fractional integral operators with a modified Mittag-Leffler kernel
  130. Link theorem and distributions of solutions to uncertain Liouville-Caputo difference equations
  131. Fuzzy integral inequalities on coordinates of convex fuzzy interval-valued functions
  132. New fuzzy-interval inequalities in fuzzy-interval fractional calculus by means of fuzzy order relation
  133. New generalized Riemann-Liouville fractional integral inequalities for convex functions
  134. Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities
  135. On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space
  136. Fuzzy-interval inequalities for generalized convex fuzzy-interval-valued functions via fuzzy Riemann integrals
  137. Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
  138. Some new Jensen, Schur and Hermite-Hadamard inequalities for log convex fuzzy interval-valued functions
  139. Inequalities for Estimations of Integrals Related to Higher-Order Strongly n -Polynomial Preinvex Functions
  140. Discrete generalized fractional operators defined using h‐discrete Mittag‐Leffler kernels and applications to AB fractional difference systems
  141. New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions
  142. A Correlation Between Solutions of Uncertain Fractional Forward Difference Equations and Their Paths
  143. New Simpson Type Integral Inequalities for s -Convex Functions and Their Applications
  144. Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type
  145. Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals
  146. Fractional Hermite–Hadamard–Fejer Inequalities for a Convex Function With Respect to an Increasing Function Involving a Positive Weighted Symmetric Function
  147. Fractional Hermite-Hadamard Integral Inequalities for a New Class of Convex Functions
  148. Some Generalizations of Opial Type Inequalities,
  149. Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
  150. Some modifications in conformable fractional integral inequalities
  151. Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel
  152. New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications
  153. On generalized fractional integral inequalities for twice differentiable convex functions
  154. Simpson’s Integral Inequalities for Twice Differentiable Convex Functions
  155. Opial integral inequalities for generalized fractional operators with nonsingular kernel
  156. Inequalities of trapezoidal type involving generalized fractional integrals
  157. A New Version of the Hermite–Hadamard Inequality for Riemann–Liouville Fractional Integrals
  158. On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals
  159. Modification of certain fractional integral inequalities for convex functions
  160. Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
  161. Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications
  162. Fractional integral inequalities of Hermite-Hadamard type for convex functions with respect to a monotone function
  163. Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function
  164. A Generalized Uncertain Fractional Forward Difference Equations of Riemann-Liouville Type
  165. New integral inequalities for preinvex functions via generalized beta function
  166. Generalized fractional integral inequalities of Hermite–Hadamard type for ( α , m ...
  167. New Conformable Fractional Integral Inequalities of Hermite–Hadamard Type for Convex Functions
  168. New Conformable Fractional Integral Inequalities of Hermite-Hadamard Type for Convex Functions
  169. Hermite–Hadamard type inequalities for F-convex function involving fractional integrals
  170. Some new Hermite-Hadamard type inequalities for MT -convex functions on differentiable coordinates
  171. Computational Non-Polynomial Spline Function for Solving Fractional Bagely-Torvik Equatio
  172. Twelfth degree spline with application to quadrature
  173. Computational Method for Fractional Differential Equations Using Nonpolynomial Fractional Spline
  174. Composition Fractional Integral Inequality for the Reiman-Liouville type with applications
  175. Numerical Solution of Fractional Differential Equations by using Fractional Spline Functions.
  176. Generalized Quartic Fractional Spline Interpolation with Applications