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Lie Symmetry Analysis, Explicit Solutions and Conservation Laws for the Space-Time Fractional Nonlinear Evolution Equations

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dc.contributor.author İnç, Mustafa
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-29T19:37:44Z
dc.date.available 2020-03-29T19:37:44Z
dc.date.issued 2018-04-15
dc.identifier.citation Inc, Mustafa...et al. (2018). "Lie symmetry analysis, explicit solutions and conservation laws for the space-time fractional nonlinear evolution equations", Physica A-Statistical Mechanics and Its Applications, Vol. 496, pp. 371-383. tr_TR
dc.identifier.issn 0378-4371
dc.identifier.uri http://hdl.handle.net/20.500.12416/2787
dc.description.abstract This paper studies the symmetry analysis, explicit solutions, convergence analysis, and conservation laws (Cls) for two different space-time fractional nonlinear evolution equations with Riemann-Liouville (RL) derivative. The governing equations are reduced to nonlinear ordinary differential equation (ODE) of fractional order using their Lie point symmetries. In the reduced equations, the derivative is in Erdelyi-Kober (EK) sense, power series technique is applied to derive an explicit solutions for the reduced fractional ODEs. The convergence of the obtained power series solutions is also presented. Moreover, the new conservation theorem and the generalization of the Noether operators are developed to construct the nonlocal Cls for the equations. Some interesting figures for the obtained explicit solutions are presented. (C) 2018 Elsevier B.V. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier tr_TR
dc.relation.isversionof 10.1016/j.physa.2017.12.119 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Space-Time Nonlinear Eavolution Equations tr_TR
dc.subject Lie Symmetry tr_TR
dc.subject RL Fractional Derivative tr_TR
dc.subject Explicit Solutions tr_TR
dc.subject Cls tr_TR
dc.title Lie Symmetry Analysis, Explicit Solutions and Conservation Laws for the Space-Time Fractional Nonlinear Evolution Equations tr_TR
dc.type article tr_TR
dc.relation.journal Physica A-Statistical Mechanics and Its Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 496 tr_TR
dc.identifier.startpage 371 tr_TR
dc.identifier.endpage 383 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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