A modified quasilinearization method for fractional differential equations and its applications

V. Antony Vijesh, Rupsha Roy and G. Chandhini

Applied Mathematics and Computation, 2015, vol. 266, issue C, 687-697

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.

Keywords: Caputo’s fractional derivative; Fractional order Riccati equation; Monotone iterative technique; Quasilinearization (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:687-697

DOI: 10.1016/j.amc.2015.05.132

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