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Title
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A MODIFIED VARIATIONAL ITERATION METHOD FOR SOLVING FRACTIONAL RICCATI DIFFERENTIAL EQUATION BY ADOMIAN POLYNOMIALS
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Type
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JournalPaper
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Keywords
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Riccati equation; fractional derivative; modified variational iteration method; Adomian polynomials
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Abstract
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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. MSC 2010 : Primary 34A08; Secondary 34K28, 34K37
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Researchers
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Dumitru Baleanu (Third Researcher), haleh tajadodi (Second Researcher), Hossein Jafari (First Researcher)
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