On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative-Reference-Cited by-同舟云学术

On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Vivas-Cortez Miguel¹,Árciga Martin Patricio²,Najera Juan Carlos²,Hernández Jorge Eliecer³

Affiliation:

1. Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Físicas y Matemáticas, Av. 12 de Octubre 1076, Apartado: 17-01-2184 , Quito 170143 , Ecuador

2. Facultad de Matemáticas, Universidad Autónoma de Guerrero , Chilpancingo , Guerrero , Mexico

3. Departamento de Técnicas Cuantitativas, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Económicas y Empresariales, Edf. Los Militares, Ofc. 2, ZP: 3001 , Barquisimeto , Venezuela

Abstract

Abstract The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS J. App. Eng. Math. 9 (2019), no. 4, 792–799, http://jaem.isikun.edu.tr/web/images/articles/vol.9.no.4/11.pdf). In the development of the this article, by using classical methods of fractional calculus, we find a definition of the generalized fractional Wronskian according to the fractional differential operator defined by Zarikaya, a fractional version of the Sturm-Picone theorem, and in addition, the stability criterion given by the Hyers-Ulam theorem is studied with the use of the aforementioned fractional derivatives.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0212/pdf

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