Results 51 to 60 of about 1,294 (167)

Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains

Nonautonomous Dynamical Systems, 2022
In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

Mathematical Modeling of Divorce Incidence With Social Media Influence Using Caputo Fractional Derivative

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Divorce has been an issue of concern in recent years, and with the emergence of social media, these issues are getting out of hand. Social media is seen to contribute to marital conflict by facilitating infidelity and promoting unrealistic expectations from couples, among other things.
Patience Pokuaa Gambrah, Davidon Jani, Kwasi Frempong Sarfo, Herman Matondo Mananga, Forster Owusu, Valerii Obukhovskii   +5 more
wiley   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations

Demonstratio Mathematica, 2023
Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya, Abdalla Mohamed, Abd-Elmageed Hala   +2 more
doaj   +1 more source

Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations

, 2012
In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach’s contraction principle ...
B. Ahmad, S. Ntouyas, I. Purnaras
semanticscholar   +1 more source

Positive solution of a fractional differential equation with integral boundary conditions

Journal of Applied Mathematics and Computational Mechanics, 2018
In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo, Hanan A. Wahash, S. K. Panchal   +2 more
semanticscholar   +1 more source

On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad, Guotao Wang   +5 more
wiley   +1 more source

Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative

Demonstratio Mathematica
In this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative.
Wang Guotao, Feng Meihua, Zhao Xianghong, Yuan Hualei   +3 more
doaj   +1 more source

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

, 2011
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
core   +1 more source