- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 2
- Existence and stability results for a nonlinear implicit fractional differential equation with a dis...
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 : 5 | Download : 2
Publication Date : 2022-06-30
Article Type : Research
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