On the Caputo-Hadamard fractional IVP with variable order using the upper-lower solutions technique

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dc.authoridAlzabut, Prof. Dr. Jehad/0000-0002-5262-1138
dc.authoridMOHAMMED SAID, SOUID/0000-0002-4342-5231
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.contributor.authorBouazza, Zoubida
dc.contributor.authorSouhila, Sabit
dc.contributor.authorEtemad, Sina
dc.contributor.authorSouid, Mohammed Said
dc.contributor.authorAkguel, Ali
dc.contributor.authorRezapour, Shahram
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:34:03Z
dc.date.available2024-12-24T19:34:03Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper studies the existence of solutions for Caputo-Hadamard fractional nonlinear differential equations of variable order (CHFDEVO). We obtain some needed conditions for this purpose by providing an auxiliary constant order system of the given CHFDEVO. In other words, with the help of piece-wise constant order functions on some continuous subintervals of a partition, we convert the main variable order initial value problem (IVP) to a constant order IVP of the Caputo-Hadamard differential equations. By calculating and obtaining equivalent solutions in the form of a Hadamard integral equation, our results are established with the help of the upper-lower-solutions method. Finally, a numerical example is presented to express the validity of our results.
dc.description.sponsorshipAzarbaijan Shahid Madani University; Basque Government; [IT1555-22]; [KK -2022/00090]; [PID2021-1235430B-C21/C22]
dc.description.sponsorshipThe third and sixth authors would like to thank Azarbaijan Shahid Madani University. The authors are grateful to the Basque Government for its support through Grants IT1555-22 and KK -2022/00090; and to MCIN/AEI 269.10.13039/501100011033 for Grant PID2021-1235430B-C21/C22. The authors would like to thank dear respected reviewers for their constructive comments to improve the quality of the paper.
dc.identifier.doi10.3934/math.2023276
dc.identifier.endpage5501
dc.identifier.issn2473-6988
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85144046065
dc.identifier.scopusqualityQ1
dc.identifier.startpage5484
dc.identifier.urihttps://doi.org/10.3934/math.2023276
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8405
dc.identifier.volume8
dc.identifier.wosWOS:000902169900002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractional variable order
dc.subjectCaputo-Hadamard fractional derivative
dc.subjectupper-lower solutions
dc.subjectexistence results
dc.titleOn the Caputo-Hadamard fractional IVP with variable order using the upper-lower solutions technique
dc.typeArticle

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