Fractional Impulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case
| dc.contributor.author | Zeng, De-Qiang | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2020-02-28T12:18:38Z | |
| dc.date.accessioned | 2025-09-18T15:45:10Z | |
| dc.date.available | 2020-02-28T12:18:38Z | |
| dc.date.available | 2025-09-18T15:45:10Z | |
| dc.date.issued | 2019 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | Fractional impulsive differential equations are revisited first. Some fundamental solutions of linear cases are given in this study. One straightforward technique without using integral equation is adopted to obtain exact solutions which are given by use of piecewise functions. Furthermore, a class of short memory fractional differential equations is proposed and the variable case is discussed. Mittag-Leffler solutions with impulses are derived which both satisfy the equations and impulsive conditions, respectively. | en_US |
| dc.description.publishedMonth | 2 | |
| dc.description.sponsorship | Sichuan Science and Technology Support Program [2018JY0120] | en_US |
| dc.description.sponsorship | The first author thanks for Professor Chen's encouragement in studies of fractional differential equations. The third author had many fruitful discussions with Professor Chen during the last twelve years and organized two international conferences together. The authors also thank the referees' sincere and helpful suggestions to improve this study. The second author helps with future work of the conclusion part. The first author was financially supported by Sichuan Science and Technology Support Program (Grant No. 2018JY0120). | en_US |
| dc.identifier.citation | Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru, "FractionaImpulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case", Fractional Calculus and Applied Analysis, Vol. 22, No. 1, pp. 180-192, (2019). | en_US |
| dc.identifier.doi | 10.1515/fca-2019-0012 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.issn | 1314-2224 | |
| dc.identifier.scopus | 2-s2.0-85063752481 | |
| dc.identifier.uri | https://doi.org/10.1515/fca-2019-0012 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14512 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | en_US |
| dc.relation.ispartof | 9th International Conference on Fractional Differentiation and its Applications (ICFDA) -- JUL 16-18, 2018 -- Univ Jordan, Amman, JORDAN | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Variable Order | en_US |
| dc.subject | Short Memory | en_US |
| dc.subject | Impulsive Fractional Differential Equations | en_US |
| dc.title | Fractional Impulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case | en_US |
| dc.title | FractionaI Impulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case | tr_TR |
| dc.type | Conference Object | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 23390775700 | |
| gdc.author.scopusid | 52464750000 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng; Zeng, De-Qiang] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Hohai Univ, Coll Mech & Mat, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 192 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 180 | en_US |
| gdc.description.volume | 22 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded - Conference Proceedings Citation Index - Science | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2923969369 | |
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