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References
Alomari AK, Noorani MS, Nazar R (2009). Solution of delay differential equation by means of homotopy analysis method. Aca Applicandae Mathematicae 108(2):395-412. |
|
Anakira NR, Alomar AK, Hashim I (2013). Optimal homotopy asymptotic method for solving delay differential equations. Mathematical Problems in Engineering. Vol. 2013, Article ID 498902, 11p. |
|
Batiha B, Noorani MSM, Hashim I (2007). Application of variational iteration method to a general Riccati equation. International Mathematical Forum 2(56):2759-2770. |
|
Biala TA, Asim OO, Afolabi YO (2014). A combination of the Laplace transform and the variational iteration method for the analytical treatment of delay differential equations. International Journal of Differential Equations and Applications 13(3):164-175. |
|
Davis CL (2002). Modification of the optimal velocity traffic model to include delay due to driver reaction time. Physica A 319:557-567. |
|
Epstein IR, Luo Y (1991). Differential delay equations in chemical kinetics. Nonlinear models: The crossâ€shaped phase diagram and the Oregonator. The Journal of Chemical Physics 95(1):244-254. |
|
Evans DJ, Raslan KR (2007). The Adomian decomposition method for solving delay differential equation. International Journal computer Mathematical. |
|
Fridman E, Fridman L, Shustin E (2000). Steady models in really control systems with a time delay and periodic disturbances. Journal of Dynamical Systems Measurement and Control 122:732-737. |
|
Hassan H, Rashidi MM (2011). An analytical solution of micropolar flow in aporous channel with mass injection using homotopy analysis method. International Journal of Numerical Methods for Heat and Fluid Flow 24(2):419-437. |
|
He J (1999). Variational iteration method, a kind of nonlinear analytical technique: Some examples. International Journal of Nonlinear Mechanics 34(4):699-708. |
|
He J (2000). Variational iteration method for autonomous ordinary differential. Applied Mathematics and Computation 114:115-123. |
|
He J (2004). Variational principle for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons and Fractals 19:847-851. |
|
He J (2007). Variational iteration method - Some recent results and new interpretations. Journal of Computational and Applied Mathematics 207(1):3-17. |
|
He JH, Wang SQ (2007). Variational iteration method for solving integro-differential equations. Physics Letters A 207:3-17. |
|
He J, Wu XH (2007). Variational iteration method: New development and applications. Computer and Mathematics with Applications 54(7-8):881-894. |
|
Karakoc F, Bereketoglu (2009). Solutions of delay differential equations by using differential transform method. International Journal Computer Mathematical. |
|
Kuange Y (1993). Delay differential equations with applications in population biology. Academic Press, Boston, San Diego, New York. |
|
Mahdy AMS, Mohamed AS, Mtawal AAH (2015). Variational homotopy preturbation method for solving the generalized time-space fractional Schrodiger equation. International Journal of Physical Sciences 10(11):342-350. |
|
Noor MA, Mohyu-Din ST (2008). Variational iteration method for solving higher-order nonlinear boundary value problems using Hes polynomials. International Journal of Nonlinear Science and Numerical Simulation 9(2):141-156. |
|
Odibat ZM (2010). A study on the convergence of variational iteration method. Mathematical and Computer Modelling 51(9-10):1181-1192. |
|
Rashidi MM, Iaragi N, Basiri parsa A (2011). Analytical modeling of heat convection in magnetized micropolar fluid by using modified differential transform method. Heat Transfer 40(3): 187-204. |
|
Sakar MG, Ergoren H (2015). Alternative variational iteration method for solving the time-fractional Fornberg-Witham equation. Applied Mathematical and Computer Modelling 39(14):3972-3979. |
|
Shakeri F, Dehghan M (2008). Solution of delay equation via homotopy perturbation method. Mathematical and Computer Modeling 48(3-4): 486-498. |
|
Singh BK, Kumar P (2017). Fractional variational iteration method for solving fractional partial differential equations with proportional delay. International Journal of Differential Equations. Volume 2017, Article ID 5206380, 11p. |
|
Vilu S, Ahmad RR, Din UKS (2019). Variational iteration method and Sumudu transform for solving delay differential equation. International Journal Differential Equations. Volume 2019, Article ID 6306120, 6p. |
|
Wazwaz AM (2009). The variational iteration method for analytic treatment of linear and nonlinear ODEs. Applied Mathematics and Computation 212(1):120-134. |
|
Wu G (2013). Challenge in the Variational iteration method - A new approach to identification of the Lagrange multipliers. Journal of King Saud University - Science 25(2):175-178. |
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