On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Afshari, Hojjat | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2020-12-24T12:04:47Z | |
| dc.date.accessioned | 2025-09-18T12:09:21Z | |
| dc.date.available | 2020-12-24T12:04:47Z | |
| dc.date.available | 2025-09-18T12:09:21Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Afshari, Hojat/0000-0003-1149-4336 | en_US |
| dc.description.abstract | In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann-Liouville settings and is subject to boundary conditions in the form of integrals. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The third author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.description.sponsorship | Prince Sultan University, PSU | |
| dc.identifier.citation | Afshari, Hojjat; Jarad, Fahd; Abdeljawad, Thabet (2020). "On a new fixed point theorem with an application on a coupled system of fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02926-0 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.issn | 1687-1839 | |
| dc.identifier.scopus | 2-s2.0-85090244371 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02926-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11359 | |
| 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 | Fractional Differential Equation | en_US |
| dc.subject | Common Fixed Point | en_US |
| dc.subject | <Mml:Msub>Rho</Mml:Msub>-Admissible | en_US |
| dc.subject | Coupled System | en_US |
| dc.subject | Rho-admissible | |
| dc.subject | Ρ<sub>∗</sub>-admissible | |
| dc.title | On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations | en_US |
| dc.title | On a new fixed point theorem with an application on a coupled system of fractional differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Afshari, Hojat/0000-0003-1149-4336 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Afshari, Hojjat] Univ Bonab, Fac Basic Sci, Dept Math, Bonab, Iran; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Etimesgut, Turkey; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan | 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 | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Coupled system | |
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| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Schauder fixed point theorem | |
| gdc.oaire.keywords | Fixed-point theorem | |
| gdc.oaire.keywords | Boundary value problem | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Fixed Point Theorems | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Fixed point | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fractional differential equation | |
| gdc.oaire.keywords | Picard–Lindelöf theorem | |
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| gdc.oaire.keywords | ρ ∗ $\rho _{*}$ -admissible | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Positive solutions to nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | coupled system | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
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| gdc.oaire.keywords | \(\rho_\ast\)-admissible | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Jarad, Fahd | |
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