101. Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
- Author
-
Ahmed Salem, Faris Alzahrani, and Lamya Almaghamsi
- Subjects
integral boundary condition ,Class (set theory) ,lcsh:Mathematics ,General Mathematics ,010102 general mathematics ,fixed point theorem ,Fixed-point theorem ,lcsh:QA1-939 ,01 natural sciences ,fractional Langevin equations ,010101 applied mathematics ,Nonlinear system ,Computer Science (miscellaneous) ,Applied mathematics ,Uniqueness ,Boundary value problem ,0101 mathematics ,Contraction principle ,Engineering (miscellaneous) ,existence and uniqueness ,Mathematics - 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.
- Published
- 2019