Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

H. M.Srivastava; Alireza KhaliliGolmankhaneh; DumitruBaleanu; Xiao-JunYang

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Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

机译：局部分数舒mudu转换与签名集的IVPS

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Local fractional derivatives were investigated intensively during the last few years. The coupling method of Sumudu transform and local fractional calculus (called as the local fractional Sumudu transform) was suggested in this paper. The presented method is applied to find the nondifferentiable analytical solutions for initial value problems with local fractional derivative. The obtained results are given to show the advantages.

机译：在过去几年中，局部分数衍生物被密集地调查。本文提出了Sumudu变换和局部分数（称为局部分数Sumudu变换）的耦合方法。呈现的方法用于找到局部分数衍生物的初始价值问题的非增强分析解决方案。获得了所得结果表明了优点。

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《Abstract and applied analysis》 |2014年第2期|共7页
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H. M.Srivastava; Alireza KhaliliGolmankhaneh; DumitruBaleanu; Xiao-JunYang;
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1. Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator [J] . Wei-Hua Su, Xiao-Jun Yang, H Jafari, Advances in Difference Equations . 2013,第1期

机译：局部分数阶微分算子内Cantor集上波动方程的分数阶复数变换方法
2. Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator [J] . Wei-Hua Su, Xiao-Jun Yang, H Jafari, Advances in Difference Equations . 2013,第1期

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3. Application of sumudu and double sumudu transforms to caputo-fractional differential equations [J] . Jarad F., Tas K. Journal of computational analysis and applications . 2012,第3期

机译：sumudu和double sumudu变换在电容分数阶微分方程中的应用
4. Applications of Yang-Fourier transform to local fractional equations with local fractional derivative and local fractional integral [C] . Weiping Zhong, Feng Gao, Xiaoming Shen International Conference on Building Materials and Structural Engineering . 2012

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5. Conformal dimension of Cantor sets and curve families in the plane: Central sets of Hausdorff dimension 2. [D] . Hakobyan, Hrant. 2006

机译：平面上Cantor集和曲线族的共形维数：Hausdorff维数的中心集2。
6. A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation [O] . Kangle Wang, Sanyang Liu -1

机译：分数阶柯西反应扩散方程的Sumudu变换迭代法
7. Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets [O] . H. M. Srivastava, Alireza Khalili Golmankhaneh, Dumitru Baleanu, 2014

机译：局部分数舒mudu转换与签名集的IVPS

Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

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