Langevin equation involving one fractional order with threepoint boundary conditions
Authors
Ahmed Salem
 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia.
Faris Alzahrani
 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia.
Lamya Almaghamsi
 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia.
 Department of Mathematics, University of Jeddah, 41510, Saudi Arabia.
Abstract
In this paper, we investigate a class of nonlinear Langevin equation involving one fractional order \(\alpha\in(0, 1]\) with threepoint boundary conditions. By the Banach contraction principle and Krasnoselskii's fixed point theorem, the existence and uniqueness results of solutions are obtained. Two examples are given to show the applicability of our main results.
Share and Cite
ISRP Style
Ahmed Salem, Faris Alzahrani, Lamya Almaghamsi, Langevin equation involving one fractional order with threepoint boundary conditions, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 12, 791798
AMA Style
Salem Ahmed, Alzahrani Faris, Almaghamsi Lamya, Langevin equation involving one fractional order with threepoint boundary conditions. J. Nonlinear Sci. Appl. (2019); 12(12):791798
Chicago/Turabian Style
Salem, Ahmed, Alzahrani, Faris, Almaghamsi, Lamya. "Langevin equation involving one fractional order with threepoint boundary conditions." Journal of Nonlinear Sciences and Applications, 12, no. 12 (2019): 791798
Keywords
 Fractional Langevin equations
 fixed point theorem
 existence and uniqueness
MSC
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