On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property

Abstract

In the present research manuscript, we introduce a novel general fractional boundary value inclusion problem and investigate the necessary and sufficient conditions for desired existence results. Indeed, more precisely, we formulate a class of fractional multiterm Caputo–Hadamard differential inclusion problem with two‐point sum boundary value conditions. In two separate theorems, we prove the existence results for mentioned inclusion problem by using α‐ψ‐contractive maps and approximate endpoint property. Finally, we provide an example to illustrate our main results.