On Abstract Cauchy Problems in the Frame of a Generalized Caputo Type Derivative
| dc.contributor.author | Adjabi, Y. | |
| dc.contributor.author | Abdeljawad, T. | |
| dc.contributor.author | Mahariq, I. | |
| dc.contributor.author | Bourchi, S. | |
| dc.contributor.author | Jarad, F. | |
| dc.contributor.authorID | 234808 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2024-01-17T13:29:40Z | |
| dc.date.accessioned | 2025-09-18T12:08:45Z | |
| dc.date.available | 2024-01-17T13:29:40Z | |
| dc.date.available | 2025-09-18T12:08:45Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper, we consider a class of abstract Cauchy problems in the framework of a generalized Caputo type fractional. We discuss the existence and uniqueness of mild solutions to such a class of fractional differential equations by using properties found in the related fractional calculus, the theory of uniformly continuous semigroups of operators and the fixed point theorem. Moreover, we discuss the continuous dependence on parameters and Ulam stability of the mild solutions. At the end of this paper, we bring forth some examples to endorse the obtained results. © 2023, DergiPark. All rights reserved. | en_US |
| dc.description.publishedMonth | 3 | |
| dc.identifier.citation | Bourchi, Soumia;...et.al. (2023). "On abstract Cauchy problems in the frame of a generalized Caputo type derivative", Advances in the Theory of Nonlinear Analysis and its Applications, Vol.7, No.1, pp.1-28. | en_US |
| dc.identifier.doi | 10.31197/atnaa.1147950 | |
| dc.identifier.issn | 2587-2648 | |
| dc.identifier.scopus | 2-s2.0-85142485865 | |
| dc.identifier.uri | https://doi.org/10.31197/atnaa.1147950 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11211 | |
| dc.language.iso | en | en_US |
| dc.publisher | DergiPark | en_US |
| dc.relation.ispartof | Advances in the Theory of Nonlinear Analysis and its Applications | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Abstract Cauchy Problem | en_US |
| dc.subject | Caputo Type Generalized Fractional Operators | en_US |
| dc.subject | Continuous Dependence On Parameters | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Fixed Point Theorems | en_US |
| dc.subject | Mittag-Leffler Type Function | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Uniformly Continuous Semigroups | en_US |
| dc.subject | Uniqueness | en_US |
| dc.title | On Abstract Cauchy Problems in the Frame of a Generalized Caputo Type Derivative | en_US |
| dc.title | On abstract Cauchy problems in the frame of a generalized Caputo type derivative | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Abdeljawad, Thabet | |
| gdc.author.institutional | Jarad, Fahd | |
| gdc.author.scopusid | 57979131700 | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.scopusid | 25929845700 | |
| gdc.author.scopusid | 6508051762 | |
| gdc.author.scopusid | 59023493300 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Bourchi S., Department of Mathematics, University of M'named Bougara, Boumerdes, Algeria; Jarad F., Department of Mathematics, Cankaya University, Ankara, 06790, Turkey; Adjabi Y., Dynamic Systems Laboratory, U.S.T.H.B., Algeria, Department of Mathematics, University of M'hamed Bougara, Boumerdes, Algeria; Abdeljawad T., Department of Mathematics and Sciences, Prince Sultan University, P.O.Box 66833, Riyadh, 11586, Saudi Arabia; Mahariq I., College of Engineering and Technology, American University of the Middle East, Kuwait | en_US |
| gdc.description.endpage | 28 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1 | en_US |
| gdc.description.volume | 7 | en_US |
| gdc.identifier.openalex | W4309456057 | |
| gdc.openalex.fwci | 1.26498916 | |
| gdc.openalex.normalizedpercentile | 0.68 | |
| gdc.opencitations.count | 1 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 2 | |
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