Existence and stability results for a nonlinear implicit fractional differential equation with a discrete delay

Authors : Rahima ATMANİA

Pages : 246-257

Doi:10.31197/atnaa.1053966

View : 9 | Download : 4

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In this paper, we are concerned with a class of nonlinear implicit fractional di?erential equation with a discrete delay. By means of the contraction mapping principle, we prove the existence of a unique solution. Then, we investigate the continuous dependence of the solution upon the initial delay data and the Ulam stability.
Keywords : Fractional differential equation, discrete delay, existence and continuous dependence of solution on initial data, Ulam stability, Banach fixed point theorem