Abstract
The fractal wave equations with local fractional derivatives are investigated in this paper. The analytical solutions are obtained by using local fractional Fourier series method. The present method is very efficient and accurate to process a class of local fractional differential equations.
Highlights
Fractional calculus deals with derivative and integrals of arbitrary orders [1]
We investigate the application of local fractional series method for solving the following local fractional wave equation:
Two examples are given to illustrat approximate solutions for wave equations with local fractional derivative resulting from local fractional Fourier series method
Summary
Fractional calculus deals with derivative and integrals of arbitrary orders [1]. During the last four decades, fractional calculus has been applied to almost every field of science and engineering [2,3,4,5,6]. Local fractional calculus was applied to deal with problems for nondifferentiable functions; see [19,20,21,22,23,24,25,26] and the references therein. There are analytical methods for solving the local fractional differential equations, which are referred to in [27,28,29,30,31,32,33,34]. We investigate the application of local fractional series method for solving the following local fractional wave equation: 0,.
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