Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions

We study a novel fractional model of boundary value problems in the setting of Hilfer fractional derivative operators.Precisely, sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multi-point boundary conditions are considered.Existence and uniqueness results are established for the proposed problems by using the techniques of fixed point theory.In the single-valued case, the classical theorems due to Banach and Krasnosel'ski are used, while the multi-valued case is investigated with the aid of Leray-Schauder nonlinear alternative for multi-valued maps, and Covitz and Nadler's fixed point theorem for multi-valued contractions.The obtained results are well-illustrated by numerical examples.