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On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations: Determination of the Source Function

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  • Gülcan Özkum
  • Ali Demir
  • Sertaç Erman
  • Esra Korkmaz
  • Berrak Özgür

Abstract

The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM). We apply ADM to determine the continuous right hand side functions and in the heat-like diffusion equations and , respectively. The results reveal that ADM is very effective and simple for the inverse problem of determining the source function.

Suggested Citation

  • Gülcan Özkum & Ali Demir & Sertaç Erman & Esra Korkmaz & Berrak Özgür, 2013. "On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations: Determination of the Source Function," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlamp:476154
    DOI: 10.1155/2013/476154
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    Cited by:

    1. Ebru Ozbilge & Fatma Kanca & Emre Özbilge, 2022. "Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions," Mathematics, MDPI, vol. 10(9), pages 1-8, April.

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