On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative
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.e...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-04-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0212 |
| _version_ | 1797832402212487168 |
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| author | Vivas-Cortez Miguel Árciga Martin Patricio Najera Juan Carlos Hernández Jorge Eliecer |
| author_facet | Vivas-Cortez Miguel Árciga Martin Patricio Najera Juan Carlos Hernández Jorge Eliecer |
| author_sort | Vivas-Cortez Miguel |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T14:08:22Z |
| format | Article |
| id | doaj.art-14d26777a2e445e5b6cae251b5429d2c |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-09T14:08:22Z |
| publishDate | 2023-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-14d26777a2e445e5b6cae251b5429d2c2023-05-06T15:58:55ZengDe GruyterDemonstratio Mathematica2391-46612023-04-0156126727810.1515/dema-2022-0212On some conformable boundary value problems in the setting of a new generalized conformable fractional derivativeVivas-Cortez Miguel0Árciga Martin Patricio1Najera Juan Carlos2Hernández Jorge Eliecer3Pontificia 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, EcuadorFacultad de Matemáticas, Universidad Autónoma de Guerrero, Chilpancingo, Guerrero, MexicoFacultad de Matemáticas, Universidad Autónoma de Guerrero, Chilpancingo, Guerrero, MexicoDepartamento de Técnicas Cuantitativas, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Económicas y Empresariales, Edf. Los Militares, Ofc. 2, ZP: 3001, Barquisimeto, VenezuelaThe 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.https://doi.org/10.1515/dema-2022-0212conformable fractional derivativesboundary value problemssturm-picone theorem26a3334b08 |
| spellingShingle | Vivas-Cortez Miguel Árciga Martin Patricio Najera Juan Carlos Hernández Jorge Eliecer On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative Demonstratio Mathematica conformable fractional derivatives boundary value problems sturm-picone theorem 26a33 34b08 |
| title | On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative |
| title_full | On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative |
| title_fullStr | On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative |
| title_full_unstemmed | On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative |
| title_short | On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative |
| title_sort | on some conformable boundary value problems in the setting of a new generalized conformable fractional derivative |
| topic | conformable fractional derivatives boundary value problems sturm-picone theorem 26a33 34b08 |
| url | https://doi.org/10.1515/dema-2022-0212 |
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