Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions

In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving Hilfer derivative. Existence uniqueness results are obtained by using classical fixed point theorems of Banach, Krasnosel’skiĭ, Leray–Schauder in single-valued case, while Martelli’s theorem, a nonlinear alternative multivalued maps, Covitz–Nadler theorem used inclusion case. Examples presented to illustrate our results.