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Zbl 1131.26304
Furati, Khaled M.; Tatar, Nasser-eddine
Behavior of solutions for a weighted Cauchy-type fractional differential problem. (English)
[J] J. Fractional Calc. 28, 23-42 (2005). ISSN 0918-5402

Summary: We investigate the behavior of solutions of a fractional differential problem. Namely, we consider a weighted Cauchy-type problem involving a fractional derivative in the sense of Riemann-Liouville and a non-local term. In contrast to the case where we may have blow up in finite time, for certain nonlinearities, we show that solutions decay as a power type function on some intervals which could be very large.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
34K12 Properties of solutions of functional-differential equations

Cited in: Zbl 1146.34042

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