dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Alzabut, J.
|
|
dc.contributor.author |
Jonnalagadda, J. M.
|
|
dc.contributor.author |
Adjabi, Y.
|
|
dc.contributor.author |
Matar, M. M.
|
|
dc.date.accessioned |
2021-01-08T12:47:26Z |
|
dc.date.available |
2021-01-08T12:47:26Z |
|
dc.date.issued |
2020-05-27 |
|
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. |
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dc.identifier.issn |
1687-1847 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4463 |
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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. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1186/s13662-020-02690-1 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Non-Singular Fractional Derivatives |
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dc.subject |
Sturm-Liouville Problem |
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dc.subject |
Langevin Equation |
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dc.subject |
Fixed Point Theorems |
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dc.subject |
Existence |
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dc.subject |
Solutions Dependence |
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dc.subject |
Stability |
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dc.title |
A coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations in the framework of nonlocal and nonsingular derivatives |
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dc.type |
article |
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dc.relation.journal |
Advances in Difference Equations |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
2020 |
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dc.identifier.issue |
1 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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