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Zbl 1189.34013
Laskri, Yamina; Tatar, Nasser-Eddine
The critical exponent for an ordinary fractional differential problem. (English)
[J] Comput. Math. Appl. 59, No. 3, 1266-1270 (2010). ISSN 0898-1221

Summary: We consider the Cauchy problem for an ordinary fractional differential inequality with a polynomial nonlinearity with variable coefficient. A nonexistence result is proved and the critical exponent separating existence from nonexistence is found. This is proved in the absence of any regularity assumptions.

MSC 2000:: *34A08
26A33 Fractional derivatives and integrals (real functions)
45J05 Integro-ordinary differential equations

Keywords: Cauchy problem; critical exponent; fractional differential inequality; Riemann-Liouville fractional derivative; test function method

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Zentralblatt MATH Berlin [Germany]