Existence and stability results for a nonlinear implicit fractional differential equation with a discrete delay
Keywords:
Fractional differential equation, discrete delay, existence and continuous dependence of solution on initial data, Ulam stability, Banach fixed point theoremAbstract
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.
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