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On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection

Author

Listed:
  • Abdon Atangana
  • Suares Clovis Oukouomi Noutchie

Abstract

We presented the Nagumo equation using the concept of fractional calculus. With the help of two analytical techniques including the homotopy decomposition method (HDM) and the new development of variational iteration method (NDVIM), we derived an approximate solution. Both methods use a basic idea of integral transform and are very simple to be used.

Suggested Citation

  • Abdon Atangana & Suares Clovis Oukouomi Noutchie, 2014. "On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:963985
    DOI: 10.1155/2014/963985
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    References listed on IDEAS

    as
    1. Jin-Fa Cheng & Yu-Ming Chu, 2012. "Fractional Difference Equations with Real Variable," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu & Kübra Biçen, 2012. "On the Stability of Some Discrete Fractional Nonautonomous Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, February.
    3. Jin-Fa Cheng & Yu-Ming Chu, 2012. "Fractional Difference Equations with Real Variable," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-24, December.
    4. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu & Kübra Biçen, 2012. "On the Stability of Some Discrete Fractional Nonautonomous Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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