Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 16, Issue 1, Pages 109-122Publisher
WALTER DE GRUYTER GMBH
DOI: 10.2478/s13540-013-0008-9
Keywords
Riccati equation; fractional derivative; modified variational iteration method; Adomian polynomials
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In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for nonlinear terms. The main advantage of the MVIM is that it can enlarge the convergence region of iterative approximate solutions. Hence, the solutions obtained using the MVIM give good approximations for a larger interval. The numerical results show that the method is simple and effective.
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