A modified quasilinearization method for fractional differential equations and its applications
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Date
2015
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Publisher
Elsevier Inc. usjcs@elsevier.com
Abstract
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. © 2015 Elsevier Inc.
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Keywords
Differential equations, Nonlinear equations, Riccati equations, Existence and uniqueness theorem, Fractional derivatives, Fractional differential equations, Fractional order, Modified quasilinearization methods, Monotone iterative techniques, Nonlinear fractional differential equations, Quasi-linearization, Iterative methods
Citation
Applied Mathematics and Computation, 2015, 266, , pp. 687-697