TY - JOUR
T1 - Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions
AU - Laadjal, Zaid
AU - Al-Mdallal, Qasem M.
AU - Jarad, Fahd
N1 - Publisher Copyright:
© 2021 Zaid Laadjal et al.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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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U2 - 10.1155/2021/3058414
DO - 10.1155/2021/3058414
M3 - Article
AN - SCOPUS:85116575065
VL - 2021
JO - Journal of Mathematics
JF - Journal of Mathematics
SN - 2314-4629
M1 - 3058414
ER -