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

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

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.

Idioma originalInglés
Número de artículoe0311141
PublicaciónPLoS ONE
Volumen19
N.º10
DOI
EstadoPublicada - 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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