Browsing by Author "Tajadodi, Haleh"

Now showing 1 - 6 of 6

Citation - WoS: 23
Citation - Scopus: 32
A numerical approach for fractional order Riccati differential equation using b-spline operational matrix
(Walter de Gruyter Gmbh, 2015) Jafari, Hossein; Baleanu, Dumitru; Tajadodi, Haleh; Baleanu, Dumitru; Matematik
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.
Citation - WoS: 33
Citation - Scopus: 33
Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method
(Editura Acad Romane, 2013) Jafari, Hossein; Baleanu, Dumitru; Tajadodi, Haleh; Baleanu, Dumitru; Al-Zahrani, Abdulrahim A.; Alhamed, Yahia A.; Zahid, Adnan H.; 56389; Matematik
A fractional sub-equation method is introduced to solve fractional differential equations. By the aid of the solutions of the fractional Riccati equation, we construct solutions of the Boussinesq and KdV-mKdV equations of fractional order. The obtained results show that this method is very efficient and easy to apply for solving fractional partial differential equations.
Citation - WoS: 44
Citation - Scopus: 50
Fractional Sub-Equation Method For The Fractional Generalized Reaction Duffing Model and Nonlinear Fractional Sharma-Tasso-Olver Equation
(de Gruyter Poland Sp Z O O, 2013) Jafari, Hossein; Baleanu, Dumitru; Tajadodi, Haleh; Baleanu, Dumitru; Al-Zahrani, Abdulrahim A.; Alhamed, Yahia A.; Zahid, Adnan H.; 56389; Matematik
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 - WoS: 49
Citation - Scopus: 58
Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations
(Hindawi Ltd, 2013) Jafari, Hossein; Baleanu, Dumitru; Tajadodi, Haleh; Kadkhoda, Nematollah; Baleanu, Dumitru; 56389; Matematik
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.
Citation - WoS: 20
Citation - Scopus: 25
Homotopy Analysis Method For Solving Abel Differential Equation of Fractional Order
(de Gruyter Poland Sp Z O O, 2013) Jafari, Hossein; Baleanu, Dumitru; Sayevand, Khosro; Tajadodi, Haleh; Baleanu, Dumitru; 56389; Matematik
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.
Citation - WoS: 0
Citation - Scopus: 0
On A Numerical Solution For Fractional Differential Equation Within B-Spline Operational Matrix
(Ieee, 2014) Jafari, Hossein; Baleanu, Dumitru; Tajadodi, Haleh; Baleanu, Dumitru; 56389; Matematik
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.