On Analytical Methods for Differential Equations With Local Fractional Derivative Operators

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Abstract

This chapter reviews new analytical methods for a family of differential equations with local fractional derivatives. We concentrate mainly on Fourier series, and Fourier and Laplace transforms with local fractional operators. The potential applications of the reported results are discussed. © 2015 Nova Science Publishers, Inc.

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Analytical Methods, Differential Equations, Local Fractional Derivatives, Local Fractional Fourier Series Method, Local Fractional Fourier Transforms, Local Fractional Laplace Transforms

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Yang, Xiao-Jun; Baleanu, Dumitru; Machado, J. A. Tenreiro (2014). "On analytical methods for differential equations with local fractional derivative operators", Fractional Calculus: Theory, pp. 65-87.

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65

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87
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