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Existence results for a coupled system of nonlinear multi‐term fractional differential equations with anti‐periodic type coupled nonlocal boundary conditions
Author(s) -
Ahmad Bashir,
Alblewi Manal,
Ntouyas Sotiris K.,
Alsaedi Ahmed
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7301
Subject(s) - mathematics , uniqueness , fixed point theorem , nonlinear system , mathematical analysis , boundary value problem , type (biology) , term (time) , contraction mapping , contraction principle , banach fixed point theorem , schauder fixed point theorem , fractional calculus , picard–lindelöf theorem , ecology , physics , quantum mechanics , biology
This paper is concerned with the existence and uniqueness of solutions for a coupled system of nonlinear multi‐term fractional differential equations with anti‐periodic type coupled nonlocal boundary conditions. The existence of a unique solution is proved via Banach contraction mapping principle, while two existence results are proved by using Krasnosel'skiic̆'s fixed point theorem and Leray‐Schauder alternative. We also discuss a variant of the proposed problem involving fractional differential types nonlinearities. The obtained results are well illustrated by numerical examples.