Results 61 to 70 of about 2,390 (148)

Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the solution, and Hyers–Ulam stability, which are discussed based on valid theorems in nonlinear analysis.
Maral Sangi, Mohammad Esmael Samei, Arpan Hazra   +2 more
wiley   +1 more source

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj  

Existence of mild solutions for nonlocal ψ−Caputo-type fractional evolution equations with nondense domain

Nonautonomous Dynamical Systems, 2022
The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain.
Mfadel Ali El, Melliani Said, Kassidi Abderrazak, Elomari M’hamed   +3 more
doaj   +1 more source

On the Invalidity of Fourier Series Expansions of Fractional Order

, 2015
The purpose of this short paper is to show the invalidity of a Fourier series expansion of fractional order as derived by G. Jumarie in a series of papers.
Massopust, Peter, Zayed, Ahmed I.
core   +1 more source

A Fractional‐Order Peer Influence Mathematical Model

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah, Abdul-Samad Abdul-Rahaman, Gratien Twagirumukiza, Herman Matondo Mananga, Louis Ndinyun Tawam, Arpan Hazra   +5 more
wiley   +1 more source

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Demonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala, Arshed Saima, Sadaf Maasoomah, De la Sen Manuel, Abbas Muhammad, Hamed Yasser Salah   +5 more
doaj   +1 more source

Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation [PDF]

, 2009
Mathematics Subject Classification: 26A33, 76M35, 82B31A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential
Cipriano, F., Ouerdiane, H., Vilela Mendes, R.   +2 more
core  

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami, Waseela Bibi, B. A. Younis, Ghulam Farid, Mohammed Ali, Shrideh K. Q. Al-Omari   +5 more
wiley   +1 more source

Advanced Fixed Point Methods for Analyzing Coupled Caputo Q‐Fractional Boundary Value Problems With Supportive Examples

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo‐type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed‐point theory, specifically Banach’s fixed‐point theorem ...
Hasanen A. Hammad, Saleh Fahad Aljurbua, Asamh Saleh M. Al Luhayb, Baowei Feng   +3 more
wiley   +1 more source

Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]

, 2005
Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
core