Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative

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dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAsad, Jihad
dc.contributor.authorWannan, Rania
dc.date.accessioned2024-12-24T19:34:01Z
dc.date.available2024-12-24T19:34:01Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractHeydari-Hosseininia (HH) fractional derivative is a newly introduced concept of fractional calculus which conquers the restrictions of non-singular fractional derivatives in the Caputo-Fabrizio (CF) and Atangana-Baleanu senses. For instance, it is not easy to get the closed-form of the fractional derivative of functions using CF because of the construction of its kernel function. In this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative: (HH)D(tau)(alpha)h(z, tau) - h(z, tau)h(z)(z, tau) = h(zz)(z, tau) + H(z, tau), which (HH)D(alpha)(tau )is the HH-derivative with regard to alpha-order. This problem has never been investigated earlier so, this is our motivation to work on this important problem. Some numerical examples are presented to verify the efficiency of the presented technique. Graphs of the exact and numerical solutions along with the plot of absolute error are provided for each example. Tables are given to see and compare the results point by point for each example.
dc.description.sponsorshipPalestine Technical University-Kadoorie
dc.description.sponsorshipJihad Asad and Rania Wannan would like to thank Palestine Technical University-Kadoorie for supporting this project.
dc.identifier.doi10.3934/math.2022959
dc.identifier.endpage17417
dc.identifier.issn2473-6988
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85135264280
dc.identifier.scopusqualityQ1
dc.identifier.startpage17403
dc.identifier.urihttps://doi.org/10.3934/math.2022959
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8394
dc.identifier.volume7
dc.identifier.wosWOS:000835164600001
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.subjectOptimization
dc.subjectfractional inverse Burger equation
dc.subjectHeydari-Hosseininia derivative
dc.titleSolving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative
dc.typeArticle

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