Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 19Citation - Scopus: 18New Results for Multidimensional Diffusion Equations in Fractal Dimensional Space(Editura Acad Romane, 2016) Ma, Min; Baleanu, Dumitru; Baleanu, Dumitru; Gasimov, Yusif S.; Yang, Xiao-Jun; MatematikThe multidimensional diffusion equations in fractal dimensional space started to play an important role in physics. In this paper we present the analytical solutions of the multidimensional diffusion equations in fractal dimensional spaces by using the method of separation of variables. The graphs of the exact solutions are presented and the accuracy and efficiency of the approach are revealed for a class of local fractional partial differential equations.Article Citation - WoS: 34Citation - Scopus: 36New Analytical Solutions for Klein-Gordon and Helmholtz Equations in Fractal Dimensional Space(Editura Acad Romane, 2017) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Gao, Feng; MatematikWe consider the local fractional Klein Gordon equation and Helmholtz equation in (1+1) fractal dimensional space. The local fractional Laplace series expansion method is used to solve the local fractional partial differential equations in fractal dimensional space. We present the non differentiable analytical solutions and the corresponding graphs. The obtained results illustrate the accuracy and efficiency of this approach to local fractional partial differential equations.