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Solutions of a fractional Dirac equation

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dc.contributor.author Muslih, Sami I.
dc.contributor.author Agrawal, Om P.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-04T08:30:18Z
dc.date.available 2023-01-04T08:30:18Z
dc.date.issued 2010
dc.identifier.citation Muslih, Sami I.; Agrawal, Om P.; Baleanu, Dumitru (2010). "Solutions of a fractional Dirac equation", Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009, Vol. 4, No. PART B, pp. 1011-1014. tr_TR
dc.identifier.isbn 9780791849019
dc.identifier.uri http://hdl.handle.net/20.500.12416/6033
dc.description.abstract This is a short version of a paper on the solution of a Fractional Dirac Equation (FDE). In this paper, we present two different techniques to obtain a new FDE. The first technique is based on a Fractional Variational Principle (FVP). For completeness and ease in the discussion to follow, we briefly describe the fractional Euler-Lagrange equations, and define a new Lagrangian Density Function to obtain the desired FDE. The second technique we define a new Fractional Klein-Gordon Equation (FKGE) in terms of fractional operators and fractional momenta, and use this equation to obtain the FDE. Our FDE could be of any order. We present eigensolutions for the FDE which are very similar to those for the regular Dirac equation. We give only a brief exposition of the topics here. An extended version of this work will be presented elsewhere. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1115/DETC2009-86521 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.title Solutions of a fractional Dirac equation tr_TR
dc.type conferenceObject tr_TR
dc.relation.journal Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009 tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 4 tr_TR
dc.identifier.issue PART B tr_TR
dc.identifier.startpage 1011 tr_TR
dc.identifier.endpage 1014 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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