On Existence-Uniqueness Results for Proportional Fractional Differential Equations and Incomplete Gamma Functions
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Laadjal, Zaid | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-10-11T11:47:02Z | |
| dc.date.accessioned | 2025-09-18T14:09:33Z | |
| dc.date.available | 2022-10-11T11:47:02Z | |
| dc.date.available | 2025-09-18T14:09:33Z | |
| dc.date.issued | 2020 | |
| dc.description | Laadjal, Zaid/0000-0003-1627-2898; Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivatives (GPF derivatives) generated by proportional derivatives of the form D-rho=(1-rho)+rho D, rho is an element of[0,1], (1) where D is the ordinary differential operator. | en_US |
| dc.identifier.citation | Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd (2020). "On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-03043-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85096004085 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-03043-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13427 | |
| 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 | Incomplete Gamma Function | en_US |
| dc.subject | Generalized Proportional Fractional Differential Equation | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Uniqueness | en_US |
| dc.title | On Existence-Uniqueness Results for Proportional Fractional Differential Equations and Incomplete Gamma Functions | en_US |
| dc.title | On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Laadjal, Zaid/0000-0003-1627-2898 | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Laadjal, Zaid/Aeq-4744-2022 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Laadjal, Zaid] Abbes Laghrour Univ, Dept Math & Comp Sci, ICOSI Lab, Khenchela 40004, Algeria; [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; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | 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 | Fractional Differential Equations | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Partial Differential Equations | |
| gdc.oaire.keywords | Existence | |
| gdc.oaire.keywords | Integro-Differential Equations | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Incomplete gamma function | |
| gdc.oaire.keywords | Nonlocal Partial Differential Equations and Boundary Value Problems | |
| gdc.oaire.keywords | Algorithm | |
| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Generalized proportional fractional differential equation | |
| gdc.oaire.keywords | Uniqueness | |
| gdc.oaire.keywords | Functional Differential Equations | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | incomplete gamma function | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | existence | |
| gdc.oaire.keywords | Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) | |
| gdc.oaire.keywords | uniqueness | |
| gdc.oaire.keywords | generalized proportional fractional differential equation | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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