On the stability of a fractional-order differential equation with nonlocal initial condition

A. M. A. El-Sayed, Alexandria University, Alexandria, Egypt
Sh. A. Abd El-Salam, Alexandria University, Alexandria, Egypt

E. J. Qualitative Theory of Diff. Equ., No. 29. (2008), pp. 1-8.

Communicated by Z. Artstein.Received on 2008-02-07
Appeared on 2008-09-30

Abstract: The topic of fractional calculus (integration and differentiation of fractional-order), which concerns singular integral and integro-differential operators, is enjoying interest among mathematicians, physicists and engineers. In this work, we investigate initial value problem of fractional-order differential equation with nonlocal condition. The stability (and some other properties concerning the existence and uniqueness) of the solution will be proved.

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