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Zbl 1182.34004
El-Sayed, A.M.A.; El-Salam, Sh.A.Abd
Weighted Cauchy-type problem of a functional differ-integral equation. (English)
[J] Electron. J. Qual. Theory Differ. Equ. 2007, Paper No. 30, 9 p., electronic only (2007). ISSN 1417-3875/e

Summary: We are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of its solution.
MSC 2000:
*34A08
34G20 Nonlinear ODE in abstract spaces
34A12 Initial value problems for ODE

Keywords: fractional calculus; weighted Cauchy-type problem; stability

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