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Fractional Langevin Equations with Nonlocal Integral Boundary Conditions

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In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the… Click to show full abstract

In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the nonlinear alternative Leray Schauder theorems, the existence and uniqueness results of solutions are proven. The paper was appended examples which illustrate the applicability of the results.

Keywords: fractional langevin; integral boundary; equations nonlocal; boundary conditions; nonlocal integral; langevin equations

Journal Title: Mathematics
Year Published: 2019

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