Local fractional similarity solution for the diffusion equation defined on Cantor sets

Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.

dc.contributor.author	Yang, Xiao-Jun
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Srivastava, H. M.
dc.date.accessioned	2017-04-18T10:57:40Z
dc.date.available	2017-04-18T10:57:40Z
dc.date.issued	2015-09
dc.identifier.citation	Yang, X.J., Baleanu,D., Srivastava, H.M. (2015). Local fractional similarity solution for the diffusion equation defined on Cantor sets. Applied Mathematics Letters, 47, 54-60. http://dx.doi.org/10.1016/j.aml.2015.02.024	tr_TR
dc.identifier.issn	0893-9659
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1523
dc.description.abstract	In this letter, the local fractional similarity solution is addressed for the non-differentiable diffusion equation. Structuring the similarity transformations via the rule of the local fractional partial derivative operators, we transform the diffusive operator into a similarity ordinary differential equation. The obtained result shows the non-differentiability of the solution suitable to describe the properties and behaviors of the fractal content.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Pergamon-Elsevier Science LTD	tr_TR
dc.relation.isversionof	10.1016/j.aml.2015.02.024	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Similarity Solution	tr_TR
dc.subject	Diffusion Equation	tr_TR
dc.subject	Non-differentiability	tr_TR
dc.subject	Local Fractional Derivative	tr_TR
dc.subject	Local Fractional Partial Derivative Operators	tr_TR
dc.title	Local fractional similarity solution for the diffusion equation defined on Cantor sets	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Applied Mathematics Letters	tr_TR
dc.identifier.volume	47	tr_TR
dc.identifier.startpage	54	tr_TR
dc.identifier.endpage	60	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR