On the stability of a fractional-order differential equation with nonlocal initial condition
A. M. A. El-Sayed, Alexandria University, Alexandria, Egypt E. J. Qualitative Theory of Diff. Equ., No. 29. (2008), pp. 1-8.
Sh. A. Abd El-Salam, Alexandria University, Alexandria, Egypt
| 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.
You can download the full text of this paper in DVI, PostScript or PDF format.