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Fractional-Order Investigation of Diffusion Equations via Analytical Approach

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dc.contributor.author Liu, Haobin
dc.contributor.author Khan, Hassan
dc.contributor.author Mustafa, Saima
dc.contributor.author Mou, Lianming
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-05-11T10:07:36Z
dc.date.available 2022-05-11T10:07:36Z
dc.date.issued 2021-02-23
dc.identifier.citation Liu, Haobin...et al. (2021). "Fractional-Order Investigation of Diffusion Equations via Analytical Approach", Frontiers in Physics, Vol. 8. tr_TR
dc.identifier.issn 2296-424X
dc.identifier.uri http://hdl.handle.net/20.500.12416/5485
dc.description.abstract This research article is mainly concerned with the analytical solution of diffusion equations within a Caputo fractional-order derivative. The motivation and novelty behind the present work are the application of a sophisticated and straight forward procedure to solve diffusion equations containing a derivative of a fractional-order. The solutions of some illustrative examples are calculated to confirm the closed contact between the actual and the approximate solutions of the targeted problems. Through analysis it is shown that the proposed solution has a higher rate of convergence and provides a closed-form solution. The small number of calculations is the main advantage of the proposed method. Due to a comfortable and straight forward implementation, the suggested method can be utilized to nonlinear fractional-order problems in various applied science branches. It can be extended to solve other physical problems of fractional-order in multiple areas of applied sciences. © Copyright © 2021 Liu, Khan, Mustafa, Mou and Baleanu. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3389/fphy.2020.568554 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Operator tr_TR
dc.subject Diffusion Equations tr_TR
dc.subject Fractional Differential Equation tr_TR
dc.subject Iterative Shehu Transform Method tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.title Fractional-Order Investigation of Diffusion Equations via Analytical Approach tr_TR
dc.type article tr_TR
dc.relation.journal Frontiers in Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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