Analysis of a coupled system of nonlinear fractional Langevin equations with certain nonlocal and nonseparated boundary conditions
type: Item
instance of: scholarly article
title: Analysis of a coupled system of nonlinear fractional Langevin equations with certain nonlocal and nonseparated boundary conditions
zbMATH Open document ID: 1477.34016
DOI: 10.1155/2021/3058414
author: Zaid Laadjal
author: Qasem M. Al-Mdallal
author: F. Jarad
published in: Journal of Mathematics
publication date: 2021-11-25T00:00:00Z
review text: Summary: In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by new type of nonlocal and nonseparated boundary conditions consisting of fractional integrals and derivatives. The considered boundary conditions are totally dissimilar than the ones already handled in the literature. Additionally, we modify the Adams-type predictor-corrector method by implicitly implementing the Gauss-Seidel method in order to solve some specific particular cases of the system.
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7433533
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/3058414
OpenAlex ID: W3202841594
cites work: Q3141895
cites work: Q5699297
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: Q4457539
cites work: Langevin equation with two fractional orders
cites work: Generalized Langevin equation revisited: mechanical random force and self-consistent structure
cites work: The Langevin and Fokker–Planck Equations in Polymer Rheology
cites work: Q5140217
cites work: Existence of solution for fractional Langevin equation: Variational approach
cites work: On fully coupled nonlocal multi-point boundary value problems of nonlinear mixed-order fractional differential equations on an arbitrary domain
cites work: Positive solutions for a system of fractional differential equations with two parameters
cites work: Positive solutions for a coupled system of nonlinear semipositone fractional boundary value problems
cites work: Q4421936
cites work: Dynamical analysis of fractional-order modified logistic model
cites work: A fractional-order epidemic model with time-delay and nonlinear incidence rate
description: scientific article; zbMATH DE number 7433533