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Boundary value problems for differential equations involving Riemann-Liouville fractional derivative on the half-line. (English) Zbl 1208.26012

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:

26A33 Fractional derivatives and integrals
34A60 Ordinary differential inclusions
34B15 Nonlinear boundary value problems for ordinary differential equations
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