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DOUBLE-QUASI-WAVELET NUMERICAL METHOD FOR THE VARIABLE-ORDER TIME FRACTIONAL AND RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION INVOLVING DERIVATIVES IN CAPUTO-FABRIZIO SENSE

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dc.contributor.author Kumar, Sachin
dc.contributor.author Pandey, Prashant
dc.contributor.author Gomez-Aguilar, J. F.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-04-06T11:21:44Z
dc.date.available 2022-04-06T11:21:44Z
dc.date.issued 2020-12
dc.identifier.citation Kumar, Sachin...et al. (2020). "DOUBLE-QUASI-WAVELET NUMERICAL METHOD FOR THE VARIABLE-ORDER TIME FRACTIONAL AND RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION INVOLVING DERIVATIVES IN CAPUTO-FABRIZIO SENSE", Fractals-Complex Geometry Patterns and Scaling in Nature and Society, Vol. 28, No. 8. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/5290
dc.description.abstract Our motive in this scientific contribution is to deal with nonlinear reaction-diffusion equation having both space and time variable order. The fractional derivatives which are used are non-singular having exponential kernel. These derivatives are also known as Caputo-Fabrizio derivatives. In our model, time fractional derivative is Caputo type while spatial derivative is variable-order Riesz fractional type. To approximate the variable-order time fractional derivative, we used a difference scheme based upon the Taylor series formula. While approximating the variable order spatial derivatives, we apply the quasi-wavelet-based numerical method. Here, double-quasi-wavelet numerical method is used to investigate this type of model. The discretization of boundary conditions with the help of quasi-wavelet is discussed. We have depicted the efficiency and accuracy of this method by solving the some particular cases of our model. The error tables and graphs clearly show that our method has desired accuracy. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0218348X20400472 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional PDE tr_TR
dc.subject Diffusion Equation tr_TR
dc.subject Caputo–Fabrizio Fractional Derivative tr_TR
dc.subject Variable-Order Derivatives tr_TR
dc.subject Riesz Derivative tr_TR
dc.subject Quasi-Wavelets tr_TR
dc.title DOUBLE-QUASI-WAVELET NUMERICAL METHOD FOR THE VARIABLE-ORDER TIME FRACTIONAL AND RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION INVOLVING DERIVATIVES IN CAPUTO-FABRIZIO SENSE tr_TR
dc.type article tr_TR
dc.relation.journal Fractals-Complex Geometry Patterns and Scaling in Nature and Society tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 28 tr_TR
dc.identifier.issue 8 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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