All Stories

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