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Analytical investigations of the Sumudu transform and applications to integral production equations

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  • Fethi Bin Muhammed Belgacem
  • Ahmed Abdullatif Karaballi
  • Shyam L. Kalla

Abstract

The Sumudu transform, whose fundamental properties are presented in this paper, is little known and not widely used. However, being the theoretical dual to the Laplace transform, the Sumudu transform rivals it in problem solving. Having scale and unit-preserving properties, the Sumudu transform may be used to solve problems without resorting to a new frequency domain. Here, we use it to solve an integral production-depreciation problem.

Suggested Citation

  • Fethi Bin Muhammed Belgacem & Ahmed Abdullatif Karaballi & Shyam L. Kalla, 2003. "Analytical investigations of the Sumudu transform and applications to integral production equations," Mathematical Problems in Engineering, Hindawi, vol. 2003, pages 1-16, January.
    • Handle: RePEc:hin:jnlmpe:439059
    DOI: 10.1155/S1024123X03207018
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    Cited by:

    1. Mohammadi, Hakimeh & Kumar, Sunil & Rezapour, Shahram & Etemad, Sina, 2021. "A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Singh, Jagdev, 2020. "Analysis of fractional blood alcohol model with composite fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. 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).
    4. Rao, Anjali & Vats, Ramesh Kumar & Yadav, Sanjeev, 2024. "Numerical study of nonlinear time-fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising in propagation of waves," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    5. Bokhari, Ahmed & Belgacem, Rachid & Kumar, Sunil & Baleanu, Dumitru & Djilali, Salih, 2022. "Projectile motion using three parameter Mittag-Leffler function calculus," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 195(C), pages 22-30.
    6. 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.

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