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Existence of solutions to nonlinear Langevin equation involving two fractional orders with boundary value conditions. (English) Zbl 1228.34016
Authors’ abstract: We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnosel’skii’s fixed point theorem are applied to establish the existence results.

34A08 Fractional ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
Full Text: DOI EuDML
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