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On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

dc.contributor.authorFarman, Muhammad
dc.contributor.authorAslam, Muhammad
dc.contributor.authorAkgül, Ali
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-04-30T12:02:38Z
dc.date.available2024-04-30T12:02:38Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
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 new fractal operator such as fractal fractional and Atangana-Toufik scheme. Recently a deep concept of fractional differentiation with nonlocal and nonsingular kernel was introduced to extend the limitations of the conventional Riemann–Liouville and Caputo fractional derivatives. Many scientific results are presented in the paper and also prove these results by effective numerical results. These concepts are very important to use for real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating, and biomass transfer problem. These results are very important for solving the nonlinear model in chemistry kinetics which will be helpful to understand the chemical reactions and their actual behavior; also the observation can be developed for future kinematic chemical reactions with the help of these results.en_US
dc.description.publishedMonth7
dc.identifier.citationFarman, Muhammad;...et.al. (2022). "On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives", Journal of Computational and Nonlinear Dynamics, Vol.17, No.7.en_US
dc.identifier.doi10.1115/1.4054347
dc.identifier.issn15551415
dc.identifier.issue7en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8092
dc.identifier.volume17en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Computational and Nonlinear Dynamicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAtangana-Toufik Schemeen_US
dc.subjectChemistry Kineticsen_US
dc.subjectFractal Fractional Derivativeen_US
dc.subjectNonlocalen_US
dc.subjectNonsingular Kernelen_US
dc.titleOn Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivativestr_TR
dc.titleOn Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivativesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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