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A novel expansion iterative method for solving linear partial differential equations of fractional order

dc.contributor.authorEl-Ajou, Ahmad
dc.contributor.authorAbu Arqub, Omar
dc.contributor.authorMomani, Shaher
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAlsaedi, Ahmed
dc.date.accessioned2017-04-18T11:39:50Z
dc.date.available2017-04-18T11:39:50Z
dc.date.issued2015
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn this manuscript, we implement a relatively new analytic iterative technique for solving time-space-fractional linear partial differential equations subject to given constraints conditions based on the generalized Taylor series formula. The solution methodology is based on generating the multiple fractional power series expansion solution in the form of a rapidly convergent series with minimum size of calculations. This method can be used as an alternative to obtain analytic solutions of different types of fractional linear partial differential equations applied in mathematics, physics, and engineering. Some numerical test applications were analyzed to illustrate the procedure and to confirm the performance of the proposed method in order to show its potentiality, generality, and accuracy for solving such equations with different constraints conditions. Numerical results coupled with graphical representations explicitly reveal the complete reliability and efficiency of the suggested algorithm.en_US
dc.description.publishedMonth4
dc.identifier.citationEl-Ajou, A...et al. (2015). A novel expansion iterative method for solving linear partial differential equations of fractional order. Applied Mathematics&Computation, 257, 119-133. http://dx.doi.org/10.1016/j.amc.2014.12.121en_US
dc.identifier.doi10.1016/j.amc.2014.12.121
dc.identifier.endpage133en_US
dc.identifier.issn0096-3003
dc.identifier.startpage199en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1529
dc.identifier.volume257en_US
dc.language.isoenen_US
dc.publisherElsevier Scienceen_US
dc.relation.ispartofApplied Mathematics&Computationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Partial Differential Equationsen_US
dc.subjectFractional Power Seriesen_US
dc.subjectResidual Power Seriesen_US
dc.titleA novel expansion iterative method for solving linear partial differential equations of fractional ordertr_TR
dc.titleA Novel Expansion Iterative Method for Solving Linear Partial Differential Equations of Fractional Orderen_US
dc.typeArticleen_US
dspace.entity.typePublication

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