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Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

Author

Listed:
  • H. M. Srivastava
  • Alireza Khalili Golmankhaneh
  • Dumitru Baleanu
  • Xiao-Jun Yang

Abstract

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.

Suggested Citation

  • H. M. Srivastava & Alireza Khalili Golmankhaneh & Dumitru Baleanu & Xiao-Jun Yang, 2014. "Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:620529
    DOI: 10.1155/2014/620529
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    Cited by:

    1. Singh, Jagdev, 2020. "Analysis of fractional blood alcohol model with composite fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Kumar, Devendra & Dubey, Ved Prakash & Dubey, Sarvesh & Singh, Jagdev & Alshehri, Ahmed Mohammed, 2023. "Computational analysis of local fractional partial differential equations in realm of fractal calculus," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Srivastava, H.M. & Dubey, V.P. & Kumar, R. & Singh, J. & Kumar, D. & Baleanu, D., 2020. "An efficient computational approach for a fractional-order biological population model with carrying capacity," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Dubey, Ved Prakash & Dubey, Sarvesh & Kumar, Devendra & Singh, Jagdev, 2021. "A computational study of fractional model of atmospheric dynamics of carbon dioxide gas," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Dubey, Ved Prakash & Singh, Jagdev & Alshehri, Ahmed M. & Dubey, Sarvesh & Kumar, Devendra, 2022. "An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 296-318.
    6. Feng, Yi-Ying & Yang, Xiao-Jun & Liu, Jian-Gen & Chen, Zhan-Qing, 2023. "Mechanical investigations of local fractional magnetorheological elastomers model on Cantor sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    7. Dubey, Ved Prakash & Singh, Jagdev & Alshehri, Ahmed M. & Dubey, Sarvesh & Kumar, Devendra, 2022. "Forecasting the behavior of fractional order Bloch equations appearing in NMR flow via a hybrid computational technique," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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