All Stories

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