The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations With Infinite Delay
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Agarwal, Ravi P. | |
| dc.contributor.author | Babakhani, Azizollah | |
| dc.date.accessioned | 2020-04-03T11:44:02Z | |
| dc.date.accessioned | 2025-09-18T12:48:21Z | |
| dc.date.available | 2020-04-03T11:44:02Z | |
| dc.date.available | 2025-09-18T12:48:21Z | |
| dc.date.issued | 2013 | |
| dc.description | Babakhani, Azizollah/0000-0002-5342-1322; Babakhani, Abolfazl/0000-0002-8780-6968 | en_US |
| dc.description.abstract | We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives. The analysis is based on the alternative of the Leray-Schauder fixed-point theorem, the Banach fixed-point theorem, and the Arzela-Ascoli theorem in Omega = {y : (-infinity,b] -> R : y vertical bar(<-infinity, 0]) epsilon B} such that y vertical bar ([0,b]) is continuous and B is a phase space. | en_US |
| dc.description.sponsorship | King Abdulaziz University [130-1-1433/HiCi]; KAU | en_US |
| dc.description.sponsorship | The authors would like to thank the referee for helpful comments and suggestions. This paper was funded by King Abdulaziz University, under Grant no. (130-1-1433/HiCi). The authors, therefore, acknowledge technical and financial support of KAU. | en_US |
| dc.identifier.citation | Babakhani, Azizollah; Baleanu, Dumitru; Agarwal, Ravi P., "The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay", Abstract and Applied Analysis, (2013) | en_US |
| dc.identifier.doi | 10.1155/2013/592964 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
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| dc.identifier.uri | https://doi.org/10.1155/2013/592964 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12055 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Abstract and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations With Infinite Delay | en_US |
| dc.title | The Existence and Uniqueness of Solutions for A Class of Nonlinear Fractional Differential Equations With Infinite Delay | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Babakhani, Azizollah/0000-0002-5342-1322 | |
| gdc.author.id | Babakhani, Abolfazl/0000-0002-8780-6968 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Agarwal, Ravi/Aeq-9823-2022 | |
| gdc.author.wosid | Babakhani, Abolfazl/Aad-1088-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Babakhani, Azizollah] Babol Univ Technol, Fac Basic Sci, Dept Math, Babol Sar 4714871167, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Agarwal, Ravi P.] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA; [Agarwal, Ravi P.] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.endpage | 8 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2013 | |
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| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Computer science | |
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| gdc.oaire.keywords | Algorithm | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
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| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Finite Difference Schemes | |
| gdc.oaire.keywords | Nonlinear Equations | |
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| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | fixed point theorems | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivatives | |
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