New Analytical Solutions for Klein-Gordon and Helmholtz Equations in Fractal Dimensional Space
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Date
2017
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Editura Acad Romane
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Abstract
We 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.
Description
Yang, Xiao-Jun/0000-0003-0009-4599
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Keywords
Klein-Gordon Equation, Helmholtz Equation, Analytical Solution, Laplace Transform, Series Expansion Method, Local Fractional Derivative
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Citation
Yang, Xiao-Jun; Baleanu, Dumitru; Gao, Feng, "New analytical solutions for klein-gordon and helmholtz equations in fractal dimensional space", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences İnformation Science, Vol.18, No.3, pp.231-238, (2017).
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Volume
18
Issue
3
Start Page
231
End Page
238
