<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions. We apply the modern tools of functional analysis to derive the desired results for the problem at hand. Examples are constructed for the illustration of the obtained results.</p></abstract>

In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions. We apply the modern tools of functional analysis to derive the desired results for the problem at hand. Examples are constructed for the illustration of the obtained results.

Langevin equation in terms of conformable differential operators

Department of Mathematics, Faculty of Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Langevin equation in terms of conformable differential operators"}

In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential...

Langevin equation in terms of conformable differential operators

Published Online: Sep 22, 2020

Page range: 5 - 14

Received: Oct 03, 2019

Accepted: Nov 13, 2019

DOI: https://doi.org/10.2478/auom-2020-0016

Keywords
Langevin equation, conformable differential operators, integral boundary conditions, existence, fixed point

© 2020 Bashir Ahmad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Langevin equation in terms of conformable differential operators

Published Online: Sep 22, 2020

Page range: 5 - 14

Received: Oct 03, 2019

Accepted: Nov 13, 2019

DOI: https://doi.org/10.2478/auom-2020-0016

KeywordsLangevin equation, conformable differential operators, integral boundary conditions, existence, fixed point

© 2020 Bashir Ahmad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Langevin equation, conformable differential operators, integral boundary conditions, existence, fixed point