Solvability in Gevrey classes of some nonlinear fractional functional differential equations

TL;DR

This paper establishes conditions under which certain nonlinear fractional functional differential equations are solvable within Gevrey classes, focusing on regularity and boundedness on a specific interval.

Contribution

It proves the solvability of nonlinear fractional functional differential equations in Gevrey classes under regularity conditions on the data.

Findings

Solvability in Gevrey classes is achieved for the equations studied.

Regularity conditions on data are sufficient for solutions to exist.

Solutions are bounded within the specified interval.

Abstract

Our purpose in this paper is to prove, under some regularity conditions on the datas, the solvability in a Gevrey class of bound -1 on the interval [-1,1] of a class of nonlinear fractional functional differential equations.