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A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations

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dc.contributor.author Talib, Imran
dc.contributor.author Jarad, Fahd
dc.contributor.author Mirza, Muhammad Umar
dc.contributor.author Nawaz, Asma
dc.contributor.author Riaz, Muhammad Bilal
dc.date.accessioned 2022-02-21T13:11:51Z
dc.date.available 2022-02-21T13:11:51Z
dc.date.issued 2022-01
dc.identifier.citation Talib, Imran...et al. (2022). "A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations", Alexandria Engineering Journal, Vol. 61, No. 1, pp. 135-145. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/5030
dc.description.abstract In this paper, a computational approach based on the operational matrices in conjunction with orthogonal shifted Legendre polynomials (OSLPs) is designed to solve numerically the multi-order partial differential equations of fractional order consisting of mixed partial derivative terms. Our computational approach has ability to reduce the fractional problems into a system of Sylvester types matrix equations which can be solved by using MATLAB builtin function lyap (.). The solution is approximated as a basis vectors of OSLPs. The efficiency and the numerical stability is examined by taking various test examples. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2021.04.067 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Mixed Partial Derivative Terms tr_TR
dc.subject Operational Matrices tr_TR
dc.subject Legendre Polynomials tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Multi-Term and Multi-Order Fractional Partial Differential Equations tr_TR
dc.title A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 61 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 135 tr_TR
dc.identifier.endpage 145 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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