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Recovering the space source term for the fractional-diffusion equation with Caputo–Fabrizio derivative

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dc.contributor.author Huynh, Le Nhat
dc.contributor.author Luc, Nguyen Hoang
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Long, Le Dinh
dc.date.accessioned 2022-12-07T12:03:33Z
dc.date.available 2022-12-07T12:03:33Z
dc.date.issued 2021
dc.identifier.citation Huynh, Le Nhat...et al. (2021). "Recovering the space source term for the fractional-diffusion equation with Caputo–Fabrizio derivative", Journal of Inequalities and Applications, Vol. 2021, No. 1. tr_TR
dc.identifier.issn 1025-5834
dc.identifier.uri http://hdl.handle.net/20.500.12416/5963
dc.description.abstract This article is devoted to the study of the source function for the Caputo–Fabrizio time fractional diffusion equation. This new definition of the fractional derivative has no singularity. In other words, the new derivative has a smooth kernel. Here, we investigate the existence of the source term. Through an example, we show that this problem is ill-posed (in the sense of Hadamard), and the fractional Landweber method and the modified quasi-boundary value method are used to deal with this inverse problem and the regularized solution is also obtained. The convergence estimates are addressed for the regularized solution to the exact solution by using an a priori regularization parameter choice rule and an a posteriori parameter choice rule. In addition, we give a numerical example to illustrate the proposed method. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13660-021-02557-3 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo–Fabrizio Fractional Derivative tr_TR
dc.subject Fractional Diffusion Equation tr_TR
dc.subject Regularization Method tr_TR
dc.subject Source Function tr_TR
dc.title Recovering the space source term for the fractional-diffusion equation with Caputo–Fabrizio derivative tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Inequalities and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2021 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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