Open AccessAnalysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions
Author(s) -
Ahmed Alsaedi,
Fawziah M. Alotaibi,
Bashir Ahmad
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022463
Subject(s) - mathematics , uniqueness , nonlinear system , mathematical analysis , boundary value problem , class (philosophy) , differential equation , physics , computer science , quantum mechanics , artificial intelligence
In this paper, we introduce a new class of nonlocal multipoint-integral boundary conditions with respect to the sum and difference of the governing functions and analyze a coupled system of nonlinear Caputo fractional differential equations equipped with these conditions. The existence and uniqueness results for the given problem are proved via the tools of the fixed point theory. We also discuss the case of nonlinear Riemann-Liouville integral boundary conditions. The obtained results are well-illustrated with examples.