WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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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.Conference Object Citation - WoS: 29Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics(Springer international Publishing Ag, 2019) Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, DumitruArticle Citation - WoS: 98A New Fractional Derivative Involving the Normalized Sinc Function Without Singular Kernel(Springer Heidelberg, 2017) Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, DumitruIn this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.