The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear ψ-Caputo-type fractional evolution equations in Banach spaces with non-local conditions. The proofs are based on some fixed point theorems, compact semigroup and some basic concepts of ψ-fractional analysis. As application, a nontrivial example is given to illustrate our theoretical results.
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Mfadel et al. (2022) studied this question.
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