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