A New Method for Investigating Approximate Solutions of Some Fractional Integro-Differential Equations Involving the Caputo-Fabrizio Derivative
| dc.contributor.author | Mousalou, Asef | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2019-12-16T13:28:48Z | |
| dc.date.accessioned | 2025-09-18T16:07:55Z | |
| dc.date.available | 2019-12-16T13:28:48Z | |
| dc.date.available | 2025-09-18T16:07:55Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide three examples to illustrate our main results. By checking those, one gets the possibility of using some discontinuous mappings as coefficients in the fractional integro-differential equations. | en_US |
| dc.description.sponsorship | Azarbaijan Shahid Madani University | en_US |
| dc.description.sponsorship | The authors express their gratitude to the Professor JJ Nieto and an unknown referee for their helpful suggestions, which improved the final version of this paper. Research of the second and third authors was supported by Azarbaijan Shahid Madani University. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram (2017). A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-017-1088-3 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85012033986 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-017-1088-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14904 | |
| 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 | Approximate Solution | en_US |
| dc.subject | Caputo-Fabrizio Derivative | en_US |
| dc.subject | Fractional Integro-Differential Equation | en_US |
| dc.subject | Generalized Alpha-Contractive Map | en_US |
| dc.title | A New Method for Investigating Approximate Solutions of Some Fractional Integro-Differential Equations Involving the Caputo-Fabrizio Derivative | en_US |
| dc.title | A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Mousalou, Asef; Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2017 | |
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| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | First-order partial differential equation | |
| gdc.oaire.keywords | Fractional Differential Equations | |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Numerical Analysis | |
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| gdc.oaire.keywords | Integro-differential equation | |
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| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | fractional integro-differential equation | |
| gdc.oaire.keywords | Caputo-Fabrizio derivative | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Other nonlinear integral equations | |
| gdc.oaire.keywords | generalized \(\alpha\)-contractive map | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
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