All Stories

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