On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation

Abstract

In this paper, we investigate the nonlinear neutral fractional integral-differential equation involving conformable fractional derivative and integral. First of all, we give the form of the solution by lemma. Furthermore, existence results for the solution and sufficient conditions for uniqueness solution are given by the Leray-Schauder nonlinear alternative and Banach contraction mapping principle. Finally, an example is provided to show the application of results.

Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations

“…positive. Hence(10) leads to a contradiction. The proof is complete.□ Assume that τ σ > , r R + ∈ , and if…”