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Fractional-Order Investigation of Diffusion Equations via Analytical Approach

dc.contributor.authorLiu, Haobin
dc.contributor.authorKhan, Hassan
dc.contributor.authorMustafa, Saima
dc.contributor.authorMou, Lianming
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-05-11T10:07:36Z
dc.date.available2022-05-11T10:07:36Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.description.publishedMonth2
dc.identifier.citationLiu, Haobin...et al. (2021). "Fractional-Order Investigation of Diffusion Equations via Analytical Approach", Frontiers in Physics, Vol. 8.en_US
dc.identifier.doi10.3389/fphy.2020.568554
dc.identifier.issn2296-424X
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5485
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofFrontiers in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo Operatoren_US
dc.subjectDiffusion Equationsen_US
dc.subjectFractional Differential Equationen_US
dc.subjectIterative Shehu Transform Methoden_US
dc.subjectMittag-Leffler Functionen_US
dc.titleFractional-Order Investigation of Diffusion Equations via Analytical Approachtr_TR
dc.titleFractional-Order Investigation of Diffusion Equations Via Analytical Approachen_US
dc.typeArticleen_US
dspace.entity.typePublication

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