Nonlocal integro-multistrip-multipoint boundary value problems for ${\overline{\psi }}_{\ast }$-Hilfer proportional fractional differential equations and inclusions

In the present paper, we establish the existence criteria for solutions of single valued and multivalued boundary value problems involving a ${\overline{\psi }}_{\ast }$-Hilfer fractional proportional derivative operator, subject to nonlocal integro-multistrip-multipoint boundary conditions. We apply the fixed-point approach to obtain the desired results for the given problems. The obtained results are well-illustrated by numerical examples. It is important to mention that several new results appear as special cases of the results derived in this paper (for details, see the last section).