Results 51 to 60 of about 582,662 (170)
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman +4 more
wiley +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari +2 more
wiley +1 more source
An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif +3 more
wiley +1 more source
Implicit cubic B-spline scheme for the fractional Black-Scholes model with Caputo-Hadamard derivative [PDF]
Journal of Mahani Mathematical ResearchIn this study, we introduce a novel numerical scheme for solving the Black–Scholes equation endowed with a Caputo-Hadamard fractional time derivative. The temporal derivative is discretized via a finite-difference approach, ensuring both stability and ...
Roya Montazeri
doaj +1 more source
Fractal and Fractional, 2023 This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (h1,h2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative.
Waqar Afzal +4 more
doaj +1 more source
Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag +5 more
wiley +1 more source
An Approach for Numerical Solutions of Caputo–Hadamard Uncertain Fractional Differential Equations
, 2022 This paper is devoted to investigating a numerical scheme for solving the Caputo–Hadamard uncertain fractional differential equations (UFDEs) arising from nonlinear uncertain dynamic systems.
Yiyu Liu, Yuanguo Zhu, Hanjie Liu
core +1 more source
Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa +4 more
wiley +1 more source
On numerical techniques for solving the fractional logistic differential equation
Advances in Difference Equations, 2019 This paper studied the existence and uniqueness of the solution of the fractional logistic differential equation using Hadamard derivative and integral. Previous work has shown that there is not an exact solution to this fractional model.
Yves Yannick Yameni Noupoue +2 more
doaj +1 more source
An analogue of Leibniz’s rule for Hadamard derivatives and their application
Қарағанды университетінің хабаршысы. Математика сериясыThis paper explores new analogues of the Leibniz rule for Hadamard and Caputo–Hadamard fractional derivatives. Unlike classical derivatives, fractional ones have a strong nonlocal character, meaning that the value of the derivative at a given point ...
A.G. Smadiyeva
doaj +1 more source