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

• Autorzy: Vivas-Cortez Miguel , Árciga Martin Patricio , Najera Juan Carlos , Hernández Jorge Eliecer

Identyfikatory

DOI

10.1515/dema-2022-0212

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

conformable fractional derivative; boundary value problems; Sturm-Picone theorem

PL

zgodna pochodna ułamkowa; zagadnienie brzegowe; twierdzenie Sturma-Picone'a

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220212
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Vivas-Cortez Miguel

• 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

autor

Árciga Martin Patricio

• Facultad de Matemáticas, Universidad Autónoma de Guerrero, Chilpancingo, Guerrero, Mexico

autor

Najera Juan Carlos

• Facultad de Matemáticas, Universidad Autónoma de Guerrero, Chilpancingo, Guerrero, Mexico

autor

Hernández Jorge Eliecer

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

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).