Analysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions

Ahmed Alsaedi; Fawziah M. Alotaibi; Bashir Ahmad; Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

doi:10.3934/math.2022463

$Analysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions$

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Analysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions

Ahmed Alsaedi, Fawziah M. Alotaibi, Bashir Ahmad and Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

AIMS mathematics, Vol.7(5), pp.8314-8329

01/01/2022

DOI: https://doi.org/10.3934/math.2022463

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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.

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Title: Analysis of nonlinear coupled Caputo fractional differential equations with boundary conditions in terms of sum and difference of the governing functions
Creators - without role: Ahmed Alsaedi - King Abdulaziz University
Fawziah M. Alotaibi - King Abdulaziz University
Bashir Ahmad - King Abdulaziz University
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Publication Details: AIMS mathematics, Vol.7(5), pp.8314-8329
Publisher: Amer Inst Mathematical Sciences-Aims
Number of pages: 16
Grant note: KEP-PhD-80-130-42 / Deanship of Scientific Research (DSR) , King Abdulaziz University, Jeddah, Saudi Arabia DSR
Identifiers: 9935898308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article