A New Class of ψ-Caputo Fractional Differential Equations and Inclusion

Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani and Ching-Feng Wen

Journal of Mathematics, 2021, vol. 2021, 1-18

Abstract: In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and ψ-Riemann–Liouville fractional integral operator of order γ boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6677959

DOI: 10.1155/2021/6677959

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