A new study on existence results for perturbed fractional neutral integro-differential systems via deformable derivatives

Abstract

The qualities of the deformable derivative have been introduced recently. Using the deformable derivative [$\d$] in Banach spaces, we provide adequate requirements in this work for the existence results for perturbed fractional neutral integro-differential systems [PFNIDS]. The use of fixed-point methods allows for the establishment of a number of innovative existence results. In the latter section of the study, we give an example to show our general findings.