Vijesh, V.Roy, R.Godavarma, G.2026-02-052015Applied Mathematics and Computation, 2015, 266, , pp. 687-697963003https://doi.org/10.1016/j.amc.2015.05.132https://idr.nitk.ac.in/handle/123456789/26272Abstract 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. © 2015 Elsevier Inc.Differential equationsNonlinear equationsRiccati equationsExistence and uniqueness theoremFractional derivativesFractional differential equationsFractional orderModified quasilinearization methodsMonotone iterative techniquesNonlinear fractional differential equationsQuasi-linearizationIterative methods