All Stories

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