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
