Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales
| dc.contributor.author | Lazreg, Jamal Eddine | |
| dc.contributor.author | Benkhettou, Nadia | |
| dc.contributor.author | Benchohra, Mouffak | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.date.accessioned | 2024-04-25T07:38:39Z | |
| dc.date.accessioned | 2025-09-18T15:43:45Z | |
| dc.date.available | 2024-04-25T07:38:39Z | |
| dc.date.available | 2025-09-18T15:43:45Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results. | en_US |
| dc.description.sponsorship | Authors thank their own institutes. We are also grateful to the referees for the careful reading of the paper and for their helpful remarks and suggestions. | en_US |
| dc.identifier.citation | Lazreg, Jamal Eddine;...et.al. (2022). "Neutral functional sequential differential equations with Caputo fractional derivative on time scales", Fixed Point Theory and Algorithms for Sciences and Engineering, Vol.2022, No.1 | en_US |
| dc.identifier.doi | 10.1186/s13663-022-00716-9 | |
| dc.identifier.issn | 2730-5422 | |
| dc.identifier.scopus | 2-s2.0-85125641100 | |
| dc.identifier.uri | https://doi.org/10.1186/s13663-022-00716-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14034 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springernature | en_US |
| dc.relation.ispartof | Fixed Point Theory and Algorithms for Sciences and Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Initial Value Problem | en_US |
| dc.subject | Caputo'S Fractional Derivative | en_US |
| dc.subject | Sequential Neutral Functional Differential Equations | en_US |
| dc.subject | Fractional Integral | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Time Scale | en_US |
| dc.title | Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales | en_US |
| dc.title | Neutral functional sequential differential equations with Caputo fractional derivative on time scales | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Benchohra, Mouffak/B-5618-2014 | |
| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak] Djillali Liabes Univ Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes 22000, Algeria; [Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Karapinar, Erdal] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye | en_US |
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| gdc.description.volume | 2022 | en_US |
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