Existence of mild solutions for semilinear $\psi-$Caputo-type fractional evolution equations with nonlocal conditions in Banach spaces

Yıl 2022, Cilt: 5 Sayı: 4, 459 - 472, 30.12.2022

Ali El Mfadel Fatima Ezzahra Bourhim M'hamed Elomari

https://doi.org/10.53006/rna.1121916

Cited By: 2

Öz

The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear $\psi-$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 $\psi-$fractional analysis. As application, a nontrivial example is given to illustrate our theoretical results.

Anahtar Kelimeler

$\psi-$fractional integral, $\psi-$Caputo fractional derivative, fixed point, compact semigroup

Kaynakça

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