Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions
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Date
2021
Authors
Laadjal, Zaid
Al-Mdallal, Qasem M.
Jarad, Fahd
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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.
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Laadjal, Zaid; Al-Mdallal, Qasem M.; Jarad, Fahd (2021). "Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions", Journal of Mathematics, Vol. 2021.
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Source
Journal of Mathematics
Volume
2021