Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition in Banach spaces

In: Studia Universitatis Babeş-Bolyai. Mathematica, Band 66, Heft 3, S. 521-536

Abstract

"This paper is devoted to study the existence of a solution to Hilfer fractional
differential equation with nonlocal boundary condition in Banach spaces.
We use the equivalent integral equation to study the considered Hilfer differential
problem with nonlocal boundary condition. The Monch type fixed point
theorem and the measure of the noncompactness technique are the main tools in
this study. We demonstrate the existence of a solution with a suitable illustrative
example."