Fractional Order Techniques for Stiff Differential Equations Arising from Chemistry Kinetics

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dc.authoridASAD, JIHAD/0000-0002-6862-1634
dc.contributor.authorWannan, Rania
dc.contributor.authorAslam, Muhammad
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorKouser, Farhina
dc.contributor.authorAsad, Jihad
dc.date.accessioned2024-12-24T19:30:51Z
dc.date.available2024-12-24T19:30:51Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we consider the stiff systems of ordinary differential equations arising from chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by using the Caputo Fabrizio and Atangana-Baleanu derivatives in Caputo sense. We apply the Sumudu transform to obtain the solutions of the models. Uniqueness and stability analysis of the problem are also established by using the fixed point theory results. Numerical results are obtained by using the proposed schemes which supports theoretical results. These concepts are very important for using the real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating and biomass transfer problem. These results are crucial for solving the nonlinear model in chemistry kinetics.
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 financially.
dc.identifier.doi10.29020/nybg.ejpam.v15i3.4406
dc.identifier.endpage1157
dc.identifier.issn1307-5543
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85135924621
dc.identifier.scopusqualityQ2
dc.identifier.startpage1144
dc.identifier.urihttps://doi.org/10.29020/nybg.ejpam.v15i3.4406
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7710
dc.identifier.volume15
dc.identifier.wosWOS:000911194000026
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNew York Business Global Llc
dc.relation.ispartofEuropean Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectChemistry kinetics
dc.subjectfractional technique
dc.subjectstability
dc.subjectuniqueness
dc.subjectSumudu transform
dc.titleFractional Order Techniques for Stiff Differential Equations Arising from Chemistry Kinetics
dc.typeArticle

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