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Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

تعيينات للوظائف الخاصة على مجموعات كانتور والتحويلات المتكاملة الخاصة عبر المشغلين الكسريين المحليين

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Journal 01 Jan 2013Publisher:Hindawi LimitedJournal:Abstract and Applied Analysis, volume 2,013, pages 1-6 (issn: 1085-3375, eissn: 1687-0409,

Authors: Yongqing Zhao; Dumitru Băleanu; Mihaela Cristina Baleanu; Defu Cheng; Xiao‐Jun Yang;

doi: 10.1155/2013/316978 , 10.60692/fd800-ec784 , 10.60692/eesze-cy906

Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

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Abstract

The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.

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Keywords

Numerical Analysis, Laplace transform, Applied Mathematics, Quadrature Formulas, Fractional Fourier Transform Analysis, Fractional calculus, Pure mathematics, Fourier series, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Derivatives, Special functions, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Fourier transform, Fractional Calculus, Anomalous Diffusion Modeling and Analysis, Mathematics

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