Browsing by Author "Tajadodi, Haleh"

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Citation Count: Jafari, Hossein; Tajadodi, Hale; Baleanu, Dumitru, "A modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials" Fractional Calculus and Applied Analysis, Vol.16, No.1, pp.109-122, (2013)
A modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials
(Walter De Gruyter GMBH, 2013) Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru; 56389
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.
Citation Count: Jafari, H., Tajadodi, H., Baleanu, D. (2015). .A numerical approach for fractional order Riccati differential equation using b-spline operational matrix. Fractional Calculus And Applied Analysis, 18(2), 387-399. http://dx.doi.org/10.1515/fca-2015-0025
A numerical approach for fractional order Riccati differential equation using b-spline operational matrix
(Walter De Gruyter GMBH, 2015) Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru
In this article, we develop an effective numerical method to achieve the numerical solutions of nonlinear fractional Riccati differential equations. We found the operational matrix within the linear B-spline functions. By this technique, the given problem converts to a system of algebraic equations. This technique is used to solve fractional Riccati differential equation. The obtained results are illustrated both applicability and validity of the suggested approach
Fractional Sub-Equation Method For The Fractional Generalized Reaction Duffing Model and Nonlinear Fractional Sharma-Tasso-Olver Equation
(De Gruyter Poland SP Zoo, 2013) Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru; Al-Zahrani, Abdulrahim A.; Alhamed, Yahia A.; Zahid, Adnan H.; 56389
In this paper the fractional sub-equation method is used to construct exact solutions of the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation.The fractional derivative is described in the Jumarie's modified Riemann-Liouville sense. Two illustrative examples are given, showing the accuracy and convenience of the method.
Citation Count: Jafari, Hossein...et al. (2013). "Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations", Abstract and Applied Analysis.
Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations
(Hindawi LTD, 2013) Jafari, Hossein; Tajadodi, Haleh; Kadkhoda, Nematollah; Baleanu, Dumitru; 56389
The fractional subequation method is applied to solve Cahn-Hilliard and Klein-Gordon equations of fractional order. The accuracy and efficiency of the scheme are discussed for these illustrative examples.
Homotopy Analysis Method For Solving Abel Differential Equation of Fractional Order
(Sciendo, 2013) Jafari, Hossein; Sayevand, Khosro; Tajadodi, Haleh; Baleanu, Dumitru; 56389
In this study, the homotopy analysis method is used for solving the Abel differential equation with fractional order within the Caputo sense. Stabilityand convergence of the proposed approach is investigated. The numerical results demonstrate that the homotopy analysis method is accurate and readily implemented.
On A Numerical Solution For Fractional Differential Equation Within B-Spline Operational Matrix
(IEEE, 2014) Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru; 56389
In our manuscript we suggest an approach to obtain the solutions of the fractional differential equations(FDEs). We found the operational matrix within the linear B-spline functions. In this way the investigated equations are turned into a set of algebraic equations. We provide examples to illustrate both accuracy and simplicity of the suggested approach.