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

dc.contributor.authorKumar, Sachin
dc.contributor.authorGomez-Aguilar, J. F.
dc.contributor.authorLavin-Delgado, J. E.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-31T13:21:18Z
dc.date.available2022-03-31T13:21:18Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractOur 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.en_US
dc.description.publishedMonth10
dc.identifier.citationKumar, 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.en_US
dc.identifier.doi10.1016/j.aej.2020.04.036
dc.identifier.endpage2997en_US
dc.identifier.issn2090-2670
dc.identifier.issue5en_US
dc.identifier.startpage2991en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5231
dc.identifier.volume59en_US
dc.language.isoenen_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Partial Differential Equationen_US
dc.subjectLienard Equationen_US
dc.subjectFractional Derivative With RFE Kernelen_US
dc.subjectOperational Matrixen_US
dc.subjectLegendre Polynomialen_US
dc.titleDerivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equationtr_TR
dc.titleDerivation of Operational Matrix of Rabotnov Fractional-Exponential Kernel and Its Application To Fractional Lienard Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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