1.      L. Cvticanin., G. M. Abd El-Latif., A. M. El-Naggar and G. M. Ismail, Periodic solution of the generalized Rayleigh equation, Journal of Sound and

Vibration. 318 (2008), 580-591.     

2.      A. M. El-Naggar., G. M. Abd El-Latif and G. M. Ismail, Solutions of the Duffing-harmonic oscillator by He's energy balance method,

International Journal of Nonlinear Dynamics in Engineering and Sciences. 2 (2010), 259-266. 

3. A. M. El-Naggar and G. M. Ismail, Applications of He’s frequency-amplitude formulation to the free vibrations of strongly nonlinear oscillators,

Applied Mathematical Sciences. 6 (2012), 2071-2079.

4. G. M. Ismail, Periodic solutions of a certain non-linear differential equations, LAP LAMBERT Academic Publishing (2012-08-09).

5.  T. A. Nofal., G. M. Ismail., A. Ali and S. Abdel-Khalek, Analytical and approximate solutions to the free vibration of strongly nonlinear oscillators,  

Journal of Electromagnetic Analysis and Applications. 5 (2013), 388-392.

6. T. A. Nofal., G. M. Ismail and S. Abdel-Khalek, Application of homotopy perturbation method and parameter expanding method to fractional

Van der Pol damped nonlinear oscillator, Journal of Modern Physics. 4 (2013), 1490-1494.

7.   A. M. El-Naggar and G. M. Ismail, Solutions of nonlinear oscillators by iteration perturbation method, Information Sciences Letters. 3 (2014), 91-95. 

8.    A. M. El-Naggar and G. M. Ismail, Analytical solutions of strongly non-linear problems by the iteration perturbation method,

Journal of Scientific Research and Reports. 5 (2015), 285-294.

9. A. M. El-Naggar and G. M. Ismail, Solutions of a quadratic nonlinear oscillator by elliptic homotopy averaging method, Mathematical Sciences Letters. 4 (2015), 313-317. 

10.  M. Abul-Ez., G. M. Ismail and M. M El-Moshneb, Analytical solutions for free vibration of strongly nonlinear oscillators, Information Sciences Letters. 4 (2015), 101-105.

11.  A. M. El-Naggar and G. M. Ismail, Analytical solutions of strongly nonlinear Duffing oscillators, Alexandria Engineering Journal. 55 (2016), 1581-1585.

12.  A. M. El-Naggar and G. M. Ismail, Periodic solutions of the Duffing harmonic oscillator by He's energy balance method,

 Journal of Applied and Computational Mechanics. 2 (2016), 31-40.

13.  G. M. Ismail, An analytical technique for solving nonlinear oscillators of the motion of a rigid rod rocking bock and tapered beams,

Journal of Applied and Computational Mechanics. 2 (2016), 41-50.

14.  G. M. Ismail, An analytical coupled homotopy-variational approach for solving strongly nonlinear differential equation,

Journal of the Egyptian Mathematical Society. 25 (2017), 434-437.

15.  G. M. Ismail., M. Abul-Ez., N. M. Farea and N. Saad, Analytical approximations to nonlinear oscillation of nanoelectro-mechanical resonators,

European Physical Journal Plus. (2019), 134 (1), 47.

16.  L. Cvticanin and G. M. Ismail, Higher order approximate periodic solutions for the oscillator with strong nonlinearity of polynomial type,

European Physical Journal Plus (2019). 134 (6), 266.

17.  G. M. Ismail., H. R. Abdl-Rahim., A. Abdel-Aty., R. Kharabsheh., W. Alharbi and M. Abdel-Aty, An analytical solution for fractional oscillator in a resisting medium, Chaos Solitons and Fractals. 130 (2020) 109395.

18.  Md. Alal Hosen., G. M. Ismail., A. Yildirim and M. A. S. Kamal, A modified energy balance method to obtain higher-order analytical approximations to the oscillators with cubic and harmonic restoring force. Submitted for publication, Journal of Applied and Computational Mechanics, 6(2) (2020), 320-331

19.  G. M. Ismail., M. Abul-Ez and N. M. Farea, An accurate analytical solution to strongly nonlinear differential equations,

Applied Mathematics and Information Science, 14(2) (2020), 141-149.

20.  G. M. Ismail., M. Abul-Ez and M. M El-Moshneb, Analytical periodic solution for the Duffing-harmonic oscillator, accepted for publication in International Journal of Differential Equations and Applications (2019).

21.  Gamal. M. Ismail and Md. Alal Hosen, Global residue harmonic balance method for obtaining higher-order accurate solutions to the strongly

nonlinear oscillator, accepted for publication in Thai Journal of Mathematics (2020).