Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions-Reference-Cited by-同舟云学术

Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions

Published:2022-11-23 Issue: Volume:2022 Page:1-10
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Salem Ahmed¹^ORCID,Mshary Noorah²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia

Abstract

By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders. We analyze our problem with four-point and strip conditions. The description of the rigid plate bounded by a Newtonian fluid is provided as an application of our results. The exact solution of this problem and approximate solutions are compared.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2022/1724221.pdf

Reference32 articles.

1. Fractional Langevin Equation to Describe Anomalous Diffusion

2. Fractional vs. Ordinary Control Systems: What Does the Fractional Derivative Provide?

3. Estimation of the light field inside photosynthetic microorganism cultures through Mittag-Leffler functions at depleted light conditions