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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
A MODIFIED VARIATIONAL ITERATION METHOD FOR SOLVING FRACTIONAL RICCATI DIFFERENTIAL EQUATION BY ADOMIAN POLYNOMIALS
Type
JournalPaper
Keywords
Riccati equation; fractional derivative; modified variational iteration method; Adomian polynomials
Year
2013
Journal Fractional Calculus and Applied Analysis
DOI
Researchers Hossein Jafari ، haleh tajadodi ، Dumitru Baleanu

Abstract

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