Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators
| dc.contributor.author | Salim, Abdelkrim | |
| dc.contributor.author | Benchohra, Mouffak | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Bensalem, Abdelhamid | |
| dc.date.accessioned | 2024-05-30T13:06:35Z | |
| dc.date.accessioned | 2025-09-18T13:27:24Z | |
| dc.date.available | 2024-05-30T13:06:35Z | |
| dc.date.available | 2025-09-18T13:27:24Z | |
| dc.date.issued | 2025 | |
| dc.description | Bensalem, Abdelhamid/0009-0008-9169-148X | en_US |
| dc.description.abstract | The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained. | en_US |
| dc.identifier.citation | Bensalem, Abdelhamid...et al. "EXISTENCE AND ULAM-HYERS-RASSIAS STABILITY OF MILD SOLUTIONS FOR IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS VIA RESOLVENT OPERATORS", MATHEMATICAL FOUNDATIONS OF COMPUTING. | en_US |
| dc.identifier.doi | 10.3934/mfc.2023053 | |
| dc.identifier.issn | 2577-8838 | |
| dc.identifier.scopus | 2-s2.0-85191009530 | |
| dc.identifier.uri | https://doi.org/10.3934/mfc.2023053 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12927 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | Mathematical Foundations of Computing | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point Theory | en_US |
| dc.subject | Integro-Differential System | en_US |
| dc.subject | Generalized Measure Of Noncompactness | en_US |
| dc.subject | Condensing Operator | en_US |
| dc.subject | Ulam-Hyers-Rassias Stability | en_US |
| dc.title | Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators | en_US |
| dc.title | EXISTENCE AND ULAM-HYERS-RASSIAS STABILITY OF MILD SOLUTIONS FOR IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS VIA RESOLVENT OPERATORS | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Bensalem, Abdelhamid/0009-0008-9169-148X | |
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| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Benchohra, Mouffak/B-5618-2014 | |
| gdc.author.wosid | Salim, Abdelkrim/Abg-9621-2021 | |
| gdc.author.yokid | 19184 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes 22000, Algeria; [Salim, Abdelkrim] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria; [Karapinar, Erdal] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 231 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 209 | en_US |
| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | Controllability | |
| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | fixed point theory | |
| gdc.oaire.keywords | Ulam-Hyers-Rassias stability | |
| gdc.oaire.keywords | Stability theory for integral equations | |
| gdc.oaire.keywords | integro-differential system | |
| gdc.oaire.keywords | Global stability of solutions to ordinary differential equations | |
| gdc.oaire.keywords | condensing operator | |
| gdc.oaire.keywords | generalized measure of noncompactness | |
| gdc.oaire.keywords | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. | |
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| gdc.publishedmonth | 12 | |
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| gdc.virtual.author | Karapınar, Erdal | |
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