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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

dc.contributor.authorKumar, Sachin
dc.contributor.authorPandey, Prashant
dc.contributor.authorGomez-Aguilar, J. F.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-04-06T11:21:44Z
dc.date.available2022-04-06T11:21:44Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractOur 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.en_US
dc.description.publishedMonth12
dc.identifier.citationKumar, 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.en_US
dc.identifier.doi10.1142/S0218348X20400472
dc.identifier.issue8en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5290
dc.identifier.volume28en_US
dc.language.isoenen_US
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Societyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional PDEen_US
dc.subjectDiffusion Equationen_US
dc.subjectCaputo–Fabrizio Fractional Derivativeen_US
dc.subjectVariable-Order Derivativesen_US
dc.subjectRiesz Derivativeen_US
dc.subjectQuasi-Waveletsen_US
dc.titleDOUBLE-QUASI-WAVELET NUMERICAL METHOD FOR THE VARIABLE-ORDER TIME FRACTIONAL AND RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION INVOLVING DERIVATIVES IN CAPUTO-FABRIZIO SENSEtr_TR
dc.titleDouble-Quasi Numerical Method for the Variable-Order Time Fractional and Riesz Space Fractional Reaction-Diffusion Equation Involving Derivatives in Caputo-Fabrizio Senseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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