An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator

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dc.authoridBayram, Mustafa/0000-0002-2994-7201
dc.authoridAttia, Nourhane/0000-0002-9937-8665
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridSEBA, Djamila/0000-0002-7910-3074
dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgul, Ali
dc.contributor.authorSeba, Djamila
dc.contributor.authorNour, Abdelkader
dc.contributor.authorDe la Sen, Manuel
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2024-12-24T19:33:46Z
dc.date.available2024-12-24T19:33:46Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractRecently, a new fractional derivative operator has been introduced so that it presents the combination of the Riemann-Liouville integral and Caputo derivative. This paper aims to enhance the reproducing kernel Hilbert space method (RKHSM, for short) for solving certain fractional differential equations involving this new derivative. This is the first time that the application of the RKHSM is employed for solving some differential equations with the new operator. We illustrate the convergence analysis of the applicability and reliability of the suggested approaches. The results confirm that the RKHSM finds the true solution. Additionally, these numerical results indicate the effectiveness of the proposed method.
dc.description.sponsorshipBasque Government [IT1555-22, MCIN/AEI 269.10.13039/501100011033, PID2021-1235430B-C21/C22]
dc.description.sponsorshipThe authors are grateful to the Basque Government for its support through Grant IT1555-22 and to MCIN/AEI 269.10.13039/501100011033 for Grant PID2021-1235430B-C21/C22.
dc.identifier.doi10.3390/sym15010144
dc.identifier.issn2073-8994
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85146748358
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15010144
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8288
dc.identifier.volume15
dc.identifier.wosWOS:000927726200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractional differential equations
dc.subjectproportional-Caputo hybrid operator
dc.subjectconstant proportional-Caputo operator
dc.subjectreproducing kernel Hilbert space method
dc.titleAn Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator
dc.typeArticle

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