A Coupled System of Generalized Sturm-Liouville Problems and Langevin Fractional Differential Equations in the Framework of Nonlocal and Nonsingular Derivatives
| dc.contributor.author | Alzabut, J. | |
| dc.contributor.author | Jonnalagadda, J. M. | |
| dc.contributor.author | Adjabi, Y. | |
| dc.contributor.author | Matar, M. M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2021-01-08T12:47:26Z | |
| dc.date.accessioned | 2025-09-18T16:06:47Z | |
| dc.date.available | 2021-01-08T12:47:26Z | |
| dc.date.available | 2025-09-18T16:06:47Z | |
| dc.date.issued | 2020 | |
| dc.description | Matar, Mohammed/0000-0002-7696-2340; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Jonnalagadda, Jagan Mohan/0000-0002-1310-8323 | en_US |
| dc.description.abstract | In this paper, we study a coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations described by Atangana-Baleanu-Caputo (ABC for short) derivatives whose formulations are based on the notable Mittag-Leffler kernel. Prior to the main results, the equivalence of the coupled system to a nonlinear system of integral equations is proved. Once that has been done, we show in detail the existence-uniqueness and Ulam stability by the aid of fixed point theorems. Further, the continuous dependence of the solutions is extensively discussed. Some examples are given to illustrate the obtained results. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second author would like to thank Prince Sultan University for supporting this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2020). "A coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations in the framework of nonlocal and nonsingular derivatives", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02690-1 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85085372174 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02690-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14583 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Sturm-Liouville Problem | en_US |
| dc.subject | Non-Singular Fractional Derivatives | en_US |
| dc.subject | Langevin Equation | en_US |
| dc.subject | Fixed Point Theorems | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Solutions Dependence | en_US |
| dc.subject | Stability | en_US |
| dc.title | A Coupled System of Generalized Sturm-Liouville Problems and Langevin Fractional Differential Equations in the Framework of Nonlocal and Nonsingular Derivatives | en_US |
| dc.title | A coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations in the framework of nonlocal and nonsingular derivatives | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Matar, Mohammed/0000-0002-7696-2340 | |
| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
| gdc.author.id | Jonnalagadda, Jagan Mohan/0000-0002-1310-8323 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jonnalagadda, Jagan Mohan/Gwq-8651-2022 | |
| gdc.author.wosid | Matar, Mohammed/A-8919-2016 | |
| gdc.author.wosid | Alzabut, Prof. Dr. Jehad/T-8075-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Alzabut, J.] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Jonnalagadda, J. M.] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad, India; [Adjabi, Y.] Univ Mhamed Bougara, Fac Sci, Dept Math, Boumerdes, Algeria; [Matar, M. M.] Al Azhar Univ Gaza, Dept Math, Gaza, Palestine | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Langevin equation | |
| gdc.oaire.keywords | Solutions dependence | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Existence | |
| gdc.oaire.keywords | Non-singular fractional derivatives | |
| gdc.oaire.keywords | Fixed point theorems | |
| gdc.oaire.keywords | Sturm–Liouville problem | |
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| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | non-singular fractional derivatives | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | existence | |
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| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.virtual.author | Alzabut, Jehad | |
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