Existence Results for Fractional Neutral Functional Integro-Differential Evolution Equations With Infinite Delay in Banach Spaces
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ravichandran, Chokkalingam | |
| dc.date.accessioned | 2020-04-02T13:46:17Z | |
| dc.date.accessioned | 2025-09-18T12:04:58Z | |
| dc.date.available | 2020-04-02T13:46:17Z | |
| dc.date.available | 2025-09-18T12:04:58Z | |
| dc.date.issued | 2013 | |
| dc.description | Ravichandran, Chokkalingam/0000-0003-0214-1280 | en_US |
| dc.description.abstract | In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators, Monch's fixed point theorem via measures of noncompactness. Particularly, we do not assume that characteristic solution operators are compact. The application is given to illustrate the theory. The results of this article are generalization and improvement of the recent results on this issue. MSC: 26A33, 34A12, 47H08, 47H10. | en_US |
| dc.identifier.citation | Ravichandran, Chokkalingam; Baleanu, Dumitru, "Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces", Advances In Difference Equations, (2013) | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-215 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84884233647 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-215 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10469 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.subject | Measures Of Noncompactness | en_US |
| dc.title | Existence Results for Fractional Neutral Functional Integro-Differential Evolution Equations With Infinite Delay in Banach Spaces | en_US |
| dc.title | Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces | tr_TR |
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| gdc.author.id | Ravichandran, Chokkalingam/0000-0003-0214-1280 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ravichandran, Chokkalingam] RVS Fac Engn, Dept Math, Coimbatore 641402, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21413, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. | |
| gdc.oaire.keywords | Functional-differential equations in abstract spaces | |
| gdc.oaire.keywords | measures of noncompactness | |
| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | existence | |
| gdc.oaire.keywords | Neutral functional-differential equations | |
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