Results 31 to 40 of about 128 (114)
Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
doaj +1 more source
Theory and applications of first-order systems of Stieltjes differential equations
Advances in Nonlinear Analysis, 2017 We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
doaj +1 more source
An investigation of fractional Bagley-Torvik equation
Open Mathematics, 2019 In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
doaj +1 more source
, 2019 A brief analysis of boundary value problem of Caputo fractional differential equation with nonlocal flux multi-point boundary conditions has been done.
KUMAR , A Ramamurthy Vidhya +2 more
core +1 more source
Nonlinear EngineeringThis article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam +4 more
doaj +1 more source
A novel algorithm for time-fractional foam drainage equation
Alexandria Engineering Journal, 2020 In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear ...
Qasem M. Al-Mdallal +2 more
doaj +1 more source
Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque +3 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
wiley +1 more source
Development of Aβ and anti-Aβ dynamics models for Alzheimer’s disease
Computational and Mathematical BiophysicsAlzheimer’s disease is one of the most prevalent types of dementia worldwide. It is caused by the accumulation of amyloid-beta (Aβ) plaques in the brain, disrupting communication pathways and memory.
Cindyawati Cindyawati +3 more
doaj +1 more source
On Properties of ®-Sumudu Transform and Applications
, 2021 The ®-Sumudu transform is defined and its properties areproved. ®-Sumudu transform of convolution product and composition offunctions is obtained.
N.G. Patil; Department of Applied Sciences, MBES College of Engineering, Ambajogai Dt.Beed (M.S)- 413 517, +1 more
core