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Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method

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  • Jin-Fa Cheng
  • Yu-Ming Chu

Abstract

We obtain the analytical general solution of the linear fractional differential equations with constant coefficients by Adomian decomposition method under nonhomogeneous initial value condition, which is in the sense of the Caputo fractional derivative.

Suggested Citation

  • Jin-Fa Cheng & Yu-Ming Chu, 2011. "Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-14, August.
    • Handle: RePEc:hin:jnlmpe:587068
    DOI: 10.1155/2011/587068
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    Cited by:

    1. Xu, Hang, 2023. "A generalized analytical approach for highly accurate solutions of fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Muhammad Bilal Khan & Aleksandr Rakhmangulov & Najla Aloraini & Muhammad Aslam Noor & Mohamed S. Soliman, 2023. "Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities," Mathematics, MDPI, vol. 11(3), pages 1-24, January.

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