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Zbl 1183.34006
El-Sayed, A.M.A.; El-Salam, Sh.A.Abd
On the stability of a fractional-order differential equation with nonlocal initial condition.
(English)
[J] Electron. J. Qual. Theory Differ. Equ. 2008, Paper No. 29, 8 p., electronic only (2008). ISSN 1417-3875/e

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.
MSC 2000:
*34A08
34D20 Lyapunov stability of ODE
34A12 Initial value problems for ODE
47N20 Appl. of operator theory to differential and integral equations

Keywords: fractional calculus; Banach contraction fixed point theorem; nonlocal condition; stability

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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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