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DOI: 10.23952/jnfa.2023.22
Received January 12, 2023; Accepted June 25, 2023; Published July 8, 2023
Abstract. In this paper, we study a nonlocal multi-point Hilfer generalized proportional sequential fractional multi-valued boundary value problem. We consider both the cases of convex as well as non-convex valued maps, and we apply standard methods from multi-valued analysis to establish our existence results. In the convex case, we apply the nonlinear alternative of Leray-Schauder for multi-valued maps, while a fixed point theorem of Covitz-Nadler for contractive multi-valued maps is applied in the non convex case. Numerical examples are constructed to illustrate our obtained results.
How to Cite this Article:
A. Samadi, S.K. Ntouyas, J. Tariboon, Nonlocal Hilfer proportional sequential fractional multi-valued boundary value problems, J. Nonlinear Funct. Anal. 2023 (2023) 22.