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A new integral operational matrix with applications to multi-order fractional differential equations

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dc.contributor.author Talib, Imran
dc.contributor.author Alam, Md Nur
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Zaidi, Danish
dc.contributor.author Marriyam, Ammarah
dc.date.accessioned 2022-03-01T11:58:18Z
dc.date.available 2022-03-01T11:58:18Z
dc.date.issued 2021
dc.identifier.citation Talib, Imran...et al. (2021). "A new integral operational matrix with applications to multi-order fractional differential equations", AIMS Mathematics, Vol. 6, No. 8, pp. 8742-8771. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5054
dc.description.abstract In this article, we propose a numerical method that is completely based on the operational matrices of fractional integral and derivative operators of fractional Legendre function vectors (FLFVs). The proposed method is independent of the choice of the suitable collocation points and expansion of the residual function as a series of orthogonal polynomials as required for Spectral collocation and Spectral tau methods. Consequently, the high efficient numerical results are obtained as compared to the other methods in the literature. The other novel aspect of our article is the development of the new integral and derivative operational matrices in Riemann-Liouville and Caputo senses respectively. The proposed method is computer-oriented and has the ability to reduce the fractional differential equations (FDEs) into a system of Sylvester types matrix equations that can be solved using MATLAB builtin function lyap(.). As an application of the proposed method, we solve multi-order FDEs with initial conditions. The numerical results obtained otherwise in the literature are also improved in our work. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2021508 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Riemann-Liouville Integral Operational Matrix tr_TR
dc.subject Caputo Derivative Operational Matrix tr_TR
dc.subject Fractional Legendre Function Vectors tr_TR
dc.subject Multi-Order Fractional Differential Equations tr_TR
dc.subject Fully Operational Matrices Approach tr_TR
dc.title A new integral operational matrix with applications to multi-order fractional differential equations tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 6 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 8742 tr_TR
dc.identifier.endpage 8771 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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