Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

Baleanu, Dumitru

dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2018-09-25T07:56:31Z
dc.date.available	2018-09-25T07:56:31Z
dc.date.issued	2016-06-23
dc.identifier.citation	Baleanu, D...[et.al.]. (2016). Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-0891-6	tr_TR
dc.identifier.issn	1687-1847
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1781
dc.description.abstract	In this work, we present an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential equations (FPDEs) in the Liouville-Caputo and Caputo-Fabrizio sense. So, a general scheme to find the approximated solutions of the FPDE is formulated. The effectiveness of this method is demonstrated by comparing exact solutions of the fractional equations proposed with the solutions here obtained.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Springer International Publishing	tr_TR
dc.relation.isversionof	10.1186/s13662-016-0891-6	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Fractional Differential Equations	tr_TR
dc.subject	Caputo Fractional Operator	tr_TR
dc.subject	Caputo-Fabrizio Fractional Operator	tr_TR
dc.subject	Homotopy Analysis Method	tr_TR
dc.subject	Approximate Solution	tr_TR
dc.title	Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances In Difference Equations	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR