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A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions
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A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions

Samiha Belmor, Fahd Jarad, Thabet Abdeljawad and Gulsen Kilinc
Advances in difference equations, Vol.2020(1), pp.1-11
10/07/2020
DOI: https://doi.org/10.1186/s13662-020-02811-w

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This note is concerned with establishing the existence of solutions to a fractional differential inclusion of a psi -Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for phi -weak contractive maps, we investigate the existence of solutions to the proposed problem. An example is provided at the end to clarify the theoretical result.
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https://doi.org/10.1186/s13662-020-02811-wView
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