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Ahmad, Bashir; Alsaedi, Ahmed; Alghamdi, Badrah

A study of a nonlinear Riemann-Liouville coupled integro-differential system with coupled nonlocal fractional integro-multipoint boundary conditions. (English) Zbl 07773919

Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2605-2625 (2023).
Summary: We discuss the existence of solutions for a boundary value problem of nonlinear coupled Riemann-Liouville fractional integro-differential equations equipped with coupled nonlocal fractional integro-multipoint boundary conditions. The standard tools of the modern functional analysis are employed to derive the desired results for the problem at hand. The case of nonlinearities depending on the Riemann-Liouville fractional integrals is also discussed. Examples illustrating the obtained results are presented.

MSC:

34A08 Fractional ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations

Keywords:

coupled; fixed point; integro-differential equations; nonlocal multipoint boundary conditions; Riemann-Liouville fractional derivative
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