Existence and stability of solutions for a nonlocal multi-point and multi-strip coupled boundary value problem of nonlinear fractional Langevin equations
Copyright policy )Existence and stability of solutions for a nonlocal multi-point and multi-strip coupled boundary value problem of nonlinear fractional Langevin equations
In this paper, we investigate a nonlocal multi-point and multi-strip coupled boundary value problem of nonlinear fractional Langevin equations. The standard fixed point theorems (Leray–Schauder’s alternative and Banach’s fixed point theorem) are applied to derive the existence and uniqueness results for the given problem. We also discuss the Ulam–Hyers stability for the given system. Examples illustrating the obtained results are presented. Some new results appearing as special cases of the present ones are also indicated.
- King Abdulaziz University Saudi Arabia
Degree theory for nonlinear operators, Parameter dependent boundary value problems for ordinary differential equations, multi-point and multi-strip boundary conditions, nonlocal, Perturbations of ordinary differential equations, existence, Fractional ordinary differential equations, system, Fixed-point theorems, fixed point, fractional Langevin equation, QA1-939, Fractional Langevin equation, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics
Degree theory for nonlinear operators, Parameter dependent boundary value problems for ordinary differential equations, multi-point and multi-strip boundary conditions, nonlocal, Perturbations of ordinary differential equations, existence, Fractional ordinary differential equations, system, Fixed-point theorems, fixed point, fractional Langevin equation, QA1-939, Fractional Langevin equation, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics
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