Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives

Sabri T.M. Thabet; Abdelatif Boutiara; Mohammad Esmael Samei; Imed Kedim; Miguel Vivas-Cortez

doi:10.1371/journal.pone.0311141

Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives

Sabri T.M. Thabet, Abdelatif Boutiara, Mohammad Esmael Samei, Imed Kedim, Miguel Vivas-Cortez

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we investigate the generalized Langevin-Sturm-Liouville differential problems involving Caputo-Atangana-Baleanu fractional derivatives of higher orders with respect to another positive, increasing function denoted by ρ. The fixed point theorems in the framework of Kransnoselskii and Banach are utilized to discuss the existence and uniqueness of the results. In addition, the stability criteria of Ulam-Hyers, generalize Ulam-Hyers, Ulam-Hyers-Rassias, and generalize Ulam-Hyers-Rassias are investigated by non-linear analysis besides fractional calculus. Finally, illustrative examples are reinforced by tables and graphics to describe the main achievements.

Original language	English
Article number	e0311141
Journal	PLoS ONE
Volume	19
Issue number	10
DOIs	https://doi.org/10.1371/journal.pone.0311141
State	Published - Oct 2024

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© 2024 Thabet et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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AU - Kedim, Imed

AU - Vivas-Cortez, Miguel

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Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives

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