Sufficient conditions for existence of mild solutions for nondensely defined conformable fractional evolution equations in Banach spaces

Abstract

The main crux of this paper is to give some new sufficient conditions for the existence and uniqueness of solutions to a class of conformable fractional evolution equations with nondense domain in a Banach space. The proofs of our main results are based on some basic tools of conformable fractional calculus, conformable semigroup and Hile-Yosida theorem. As an application, a nontrivial example is given to illustrate the theoretical results.