Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions

Zaid Laadjal, Qasem M. Al-Mdallal, Fahd Jarad

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Article number3058414
JournalJournal of Mathematics
Volume2021
DOIs
Publication statusPublished - 2021

ASJC Scopus subject areas

  • Mathematics(all)

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