Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Langevin Equations
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In this paper, we present a sufficient condition for the unique existence of solutions for a coupled system of nonlinear fractional Langevin equations, with a new class of multipoint and nonlocal integral boundary conditions. We define a Z*λ-contraction mapping and present the sufficient condition by identifying the problem with an equivalent fixed point problem in the context of b-metric spaces. Finally, some numerical examples are given to validate our main results.
Abstract
In this paper, we present a sufficient condition for the unique existence of solutions for a coupled system of nonlinear fractional Langevin equations, with a new class of multipoint and nonlocal integral boundary conditions. We define a Z*λ-contraction mapping and present the sufficient condition by identifying the problem with an equivalent fixed point problem in the context of b-metric spaces. Finally, some numerical examples are given to validate our main results.
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