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Numerical Solutions for Systems of Nonlinear Fractional Ordinary Differential Equations Using the FNDM

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Abstract

A new technique has been developed for analytical solutions of fractional order nonlinear ODE system. We propose a reliable method called the fractional natural decomposition method (FNDM). The FNDM is based on the natural transform method (NTM) and the Adomian decomposition method. We use the FNDM to construct new analytical approximate and exact solutions to systems of nonlinear fractional ordinary differential equation (NLFODEs). The fractional derivatives are described in the Caputo sense.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, 22110, Irbid, Jordan

    Mahmoud S. Rawashdeh & Hadeel Al-Jammal

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  1. Mahmoud S. Rawashdeh
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  2. Hadeel Al-Jammal
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Correspondence to Mahmoud S. Rawashdeh.

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Rawashdeh, M.S., Al-Jammal, H. Numerical Solutions for Systems of Nonlinear Fractional Ordinary Differential Equations Using the FNDM. Mediterr. J. Math. 13, 4661–4677 (2016). https://doi.org/10.1007/s00009-016-0768-7

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  • DOI: https://doi.org/10.1007/s00009-016-0768-7

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