Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

By Hari M. Srivastava, A. Golmankhaneh, Dumitru Băleanu, Xiao-jun Yang. 2014

79 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/0c89d33566d5a1cd5ee9df132b7b6d5986814a5d

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In Applied Mathematics

In Computer Vision and Pattern Recognition

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Citations in the corpus

Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments (2020, background): “In fact, for the various problems considered here, the Sumudu transform has not only been found to be more convenient to use, but the closed-form results derived here also appear to be remarkably simpler (see also [86]).”
A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets (2019, methodology): “Several analytical and numerical methods have been used to solve partial differential equations (PDEs) with local fractional derivative operators (LFDOs), such as the Adomian decomposition method [13–15], variational iteration method [16–22], differential transform method [23,24], series expansion m”