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