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Zbl 1078.34028
Furati, Khaled M.; Tatar, Nasser-eddine
Power-type estimates for a nonlinear fractional differential equation. (English)
[J] Nonlinear Anal., Theory Methods Appl. 62, No. 6, A, 1025-1036 (2005). ISSN 0362-546X

Abstract: The authors are concerned with a family of nonlinear fractional differential equations. They prove that solutions of such equations with weighted initial data exist globally and decay as a power function.
[Samir B. Hadid (Ajman)]

MSC 2000:: *34D05 Asymptotic stability of ODE
26A33 Fractional derivatives and integrals (real functions)
34C11 Qualitative theory of solutions of ODE: Growth, etc.
45D05 Volterra integral equations

Keywords: fractional derivative; asymptotic behavior; Riemann-Liouville integral; singular kernel; weighted Cauchy-type problem

Cited in: Zbl 1146.34042

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