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Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation

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dc.contributor.author Kumar, Sachin
dc.contributor.author Gomez-Aguilar, J. F.
dc.contributor.author Lavin-Delgado, J. E.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-31T13:21:18Z
dc.date.available 2022-03-31T13:21:18Z
dc.date.issued 2020-10
dc.identifier.citation Kumar, Sachin...et al. (2020). "Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2991-2997. tr_TR
dc.identifier.issn 2090-2670
dc.identifier.uri http://hdl.handle.net/20.500.12416/5231
dc.description.abstract Our motive in this contribution is to find out the operational matrix of fractional derivative having non singular kernel namely Rabotnov fractional-exponential (RFE) kernel which is recently introduced and seeking numerical solution of non-linear Lienard equation which have Rabotnov fractional-exponential kernel fractional derivative. First we derive an approximation formula of the fractional order derivative of polynomial function z(k) in term of RFE kernel. Using this formula and some properties of shifted Legendre polynomials, we find out the operational matrix of fractional order differentiation. In the author of knowledge this operational matrix of RFE kernel fractional derivative is derived first time. We solve a new class of fractional partial differential equation (FPDEs) by implementation of this newly derived operational matrix. We show that our newly derived operational matrix is valid by taking an fractional derivative of a polynomial. Also, we study a new model of Lienard equation with RFE kernel fractional derivative and we can easily predict the feasibility of our numerical method to this new model. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.04.036 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Partial Differential Equation tr_TR
dc.subject Lienard Equation tr_TR
dc.subject Fractional Derivative With RFE Kernel tr_TR
dc.subject Operational Matrix tr_TR
dc.subject Legendre Polynomial tr_TR
dc.title Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 2991 tr_TR
dc.identifier.endpage 2997 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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