On fractional Langevin equation involving two fractional orders in different intervals
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| Title: | On fractional Langevin equation involving two fractional orders in different intervals |
| Author: | Baghani, Hamid Nieto Roig, Juan José |
| Affiliation: | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización Universidade de Santiago de Compostela. Instituto de Matemáticas |
| Subject: | Caputo fractional derivative | Initial boundary conditions | Existence and uniqueness | Fractional Langevin equation | |
| Date of Issue: | 2019 |
| Publisher: | Vilnius University Press |
| Citation: | Baghani H. and Nieto J. (2019) “On fractional Langevin equation involving two fractional orders in different intervals”, Nonlinear Analysis: Modelling and Control, 24(6), 884–897. doi: 10.15388/NA.2019.6.3 |
| Abstract: | In this paper, we study a nonlinear Langevin equation involving two fractional orders α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Some illustrative numerical examples are also discussed |
| Publisher version: | https://doi.org/10.15388/NA.2019.6.3 |
| URI: | http://hdl.handle.net/10347/21023 |
| DOI: | 10.15388/NA.2019.6.3 |
| ISSN: | 1392-5113 |
| E-ISSN: | 2335-8963 |
| Rights: | © 2019 Authors. Published by Vilnius University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited |
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Except where otherwise noted, this item's license is described as © 2019 Authors. Published by Vilnius University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited