A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in hilfer type with simulation

Basit Öğe Kaydı
dc.authorid0000-0002-3884-3957en_US
dc.contributor.authorGeorge, Reny
dc.contributor.authorAydoǧan, Seher Melike
dc.contributor.authorSakar, Fethiye Müge
dc.contributor.authorGhaderi, Mehran
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2023-10-24T13:09:28Z
dc.date.available2023-10-24T13:09:28Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümüen_US
dc.description.abstractPrevious studies have shown that fractional derivative operators have become an integral part of modeling natural and physical phenomena. During the progress and evolution of these operators, it has become clear to researchers that each of these operators has special capacities for investigating phenomena in engineering sciences, physics, biological mathematics, etc. Fixed point theory and its famous contractions have always served as useful tools in these studies. In this regard, in this work, we considered the Hilfer-type fractional operator to study the proposed integrodifferential equation. We have used the capabilities of measure theory and fixed point techniques to provide the required space to guarantee the existence of the solution. The Schauder and Arzela-Ascoli theorems play a fundamental role in the existence of solutions. Finally, we provided two examples with some graphical and numerical simulation to make our results more objective.en_US
dc.identifier.citationGeorge, R., Aydoğan, S. M., Sakar, F. M., Ghaderi, M. ve Rezapour, S. (2023). A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in hilfer type with simulation. AIMS Mathematics, 8(5), 10665-10684.en_US
dc.identifier.doi10.3934/math.2023541
dc.identifier.endpage10684en_US
dc.identifier.issn2473-6988
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85150955499
dc.identifier.scopusqualityQ1
dc.identifier.startpage10665en_US
dc.identifier.urihttp://www.aimspress.com/article/doi/10.3934/math.2023541
dc.identifier.urihttps://hdl.handle.net/11468/12921
dc.identifier.volume8en_US
dc.identifier.wosWOS:000944324500004
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorSakar, Fethiye Müge
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFixed pointen_US
dc.subjectFractional integrodifferential equationen_US
dc.subjectGeneralized Riemann-Liouville fractional derivativeen_US
dc.subjectHilfer derivativeen_US
dc.titleA study on the existence of numerical and analytical solutions for fractional integrodifferential equations in hilfer type with simulationen_US
dc.titleA study on the existence of numerical and analytical solutions for fractional integrodifferential equations in hilfer type with simulation
dc.typeArticleen_US

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