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

Yıl 2022, , 246 - 257, 30.06.2022

Rahima Atmania

https://doi.org/10.31197/atnaa.1053966

Cited By: 1

Öz

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.

Anahtar Kelimeler

Fractional differential equation, discrete delay, existence and continuous dependence of solution on initial data, Ulam stability, Banach fixed point theorem

Kaynakça

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