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Zbl 1208.26012
Agarwal, Ravi P.; Benchohra, Mouffak; Hamani, Samira; Pinelas, Sandra
Boundary value problems for differential equations involving Riemann-Liouville fractional derivative on the half-line. (English)
[J] Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 2, 235-244 (2011). ISSN 1201-3390; ISSN 1918-2538/e

Summary: We establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Riemann-Liouville fractional derivative on infinite intervals. This result is based on the nonlinear alternative of Leray-Schauder type combined with the diagonalization method.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
34A60 ODE with multivalued right-hand sides
34B15 Nonlinear boundary value problems of ODE

Keywords: boundary value problem; differential equation; Riemann-Liouville fractional derivative; fractional integral; existence; fixed point; infinite intervals; diagonalization process

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