TITLE:
On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation
AUTHORS:
Rui Li, Wei Jiang, Jiale Sheng, Sen Wang
KEYWORDS:
Conformable Fractional Derivative, Delay, Existence and Uniqueness, Functional Differential Equation
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.10,
October
28,
2020
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.