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On analytical methods for differential equations with local fractional derivative operators

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Date

2014

Authors

Yang, Xiao-Jun
Baleanu, Dumitru
Machado, J. A. Tenreiro

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Open Access Color

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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.

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Keywords

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

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Citation

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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Fractional Calculus: Theory

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65

End Page

87