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A modified quasilinearization method for fractional differential equations and its applications

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  • Antony Vijesh, V.
  • Roy, Rupsha
  • Chandhini, G.

Abstract

In this paper, we prove an existence and uniqueness theorem for solving the nonlinear fractional differential equation of Caputo’s type of order q ∈ (0, 1] using the method of modified quasilinearization. The main theorem has been illustrated numerically using appropriate examples which shows that the proposed quasilinearization method is robust and easy to apply.

Suggested Citation

  • Antony Vijesh, V. & Roy, Rupsha & Chandhini, G., 2015. "A modified quasilinearization method for fractional differential equations and its applications," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 687-697.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:687-697
    DOI: 10.1016/j.amc.2015.05.132
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    References listed on IDEAS

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    1. Odibat, Zaid & Momani, Shaher, 2008. "Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 167-174.
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