Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem
In this work, a new existence result is established for a nonlocal hybrid boundary value problem which contains one left Caputo and one right Riemann–Liouville fractional derivatives and integrals. The main result is proved by applying a new generalization of Darbo’s theorem associated with measures...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6690049 |
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| author | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Ayub Samadi |
| collection | DOAJ |
| description | In this work, a new existence result is established for a nonlocal hybrid boundary value problem which contains one left Caputo and one right Riemann–Liouville fractional derivatives and integrals. The main result is proved by applying a new generalization of Darbo’s theorem associated with measures of noncompactness. Finally, an example to justify the theoretical result is also presented. |
| format | Article |
| id | doaj-art-87ea5934b0ba417fbca46d7844cfb082 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-87ea5934b0ba417fbca46d7844cfb0822025-08-20T02:09:09ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66900496690049Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s TheoremAyub Samadi0Sotiris K. Ntouyas1Jessada Tariboon2Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh, IranDepartment of Mathematics, University of Ioannina, Ioannina 451 10, GreeceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIn this work, a new existence result is established for a nonlocal hybrid boundary value problem which contains one left Caputo and one right Riemann–Liouville fractional derivatives and integrals. The main result is proved by applying a new generalization of Darbo’s theorem associated with measures of noncompactness. Finally, an example to justify the theoretical result is also presented.http://dx.doi.org/10.1155/2021/6690049 |
| spellingShingle | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem Journal of Mathematics |
| title | Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem |
| title_full | Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem |
| title_fullStr | Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem |
| title_full_unstemmed | Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem |
| title_short | Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo’s Theorem |
| title_sort | nonlocal fractional hybrid boundary value problems involving mixed fractional derivatives and integrals via a generalization of darbo s theorem |
| url | http://dx.doi.org/10.1155/2021/6690049 |
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