El-Sayed, A. M. A.; El-Salam, Sh. A. Abd On the stability of a fractional-order differential equation with nonlocal initial condition. (English) Zbl 1183.34006 Electron. J. Qual. Theory Differ. Equ. 2008, Paper No. 29, 8 p. (2008). Summary: We investigate the initial value problem of a fractional-order differential equation with nonlocal condition. The stability (and some other properties concerning the existence and uniqueness) of the solution is proved. Cited in 7 Documents MSC: 34A08 Fractional ordinary differential equations 34D20 Stability of solutions to ordinary differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:fractional calculus; Banach contraction fixed point theorem; nonlocal condition; stability PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} and \textit{Sh. A. A. El-Salam}, Electron. J. Qual. Theory Differ. Equ. 2008, Paper No. 29, 8 p. (2008; Zbl 1183.34006) Full Text: EuDML EMIS