Selected Publications of JRGAM
1. Shaher Momani, An explicit and numerical solutions of the fractional KdV equation, Mathematics and Computers in Simulation, Vol. 70(2), (2005) 110-118.
2. Shaher Momani and Kamel Al-Khaled, Numerical solutions for systems of fractional differential equations by the decomposition method, Applied Mathematics and Computation, Vol.162(3), (2005) 1351-1365.
3. Muhammad Aslam Noor, S. K. Mishra and Shaher Momani, Properties of approximate
preinvex functions, Nonlinear Analysis Forum Journal, Vol. 10(2), (2005) 1-9.
4. Shaher Momani and Salah Abuasad, Application of He’s variational iteration method to
Helmholtz equation, Chaos, Solitons & Fractals, Vol. 27(5), (2006) 1119-1123.
5. Zaid Odibat and Shaher Momani, Application of variational iteration method to nonlinear
differential equations of fractional order, International Journal of Nonlinear Science and Numerical Simulation, Vol. 7(1), (2006) 27-34.
6. Shaher Momani, Non-perturbative analytical solutions of the space- and time-fractional Burgers equations, Chaos, Solitons & Fractals, Vol. 28(4), (2006) 930-937.
7. Shaher Momani and Zaid Odibat, Analytical approach to linear fractional partial differential equations arising in fluid mechanics, Physics Letters A, Vol. 355, (2006) 271-279.
8. Shaher Momani and Zaid Odibat, Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method, Applied Mathematics and Computation, Vol. 177, (2006) 488-494.
9. Shaher Momani and Khaled Moadi, A reliable algorithm for solving fourth-order boundary value problems, Journal of Applied Mathematics and Computing, Vol. 22(3), (2006) 185-197.
10. Ziad Odibat and Shaher Momani, Approximate solutions for boundary value problems of
time-fractional wave equation, Applied Mathematics and Computation, Vol. 181(1), (2006) 767-774.
11. Shaher Momani and Rami Qaralleh, An efficient method for solving systems of fractional
integro-differential equations, Computers and Mathematics with Application, Vol. 52(3-4), (2006) 459-470.
12. Ziad Odibat and Shaher Momani, Analytical spherically symmetric solution for the time fractional Navier-Stokes equation, Advances in Theoretical and Applied Mathematics (ATAM), Vol. 1(2), (2006) 97-107.
13. Shaher Momani and Muhammad Aslam Noor, Numerical methods for fourth-order fractional integro-differential equations, Applied Mathematics and Computation, Vol. 182(1), (2006) 754-760.
14. Shaher Momani, A numerical scheme for the solution of multi-order fractional differential equations, Applied Mathematics and Computation, Vol. 182(1), (2006) 761-770.
15. Shaher Momani and Nabil Shawagfeh, Decomposition method for solving the fractional
Riccati differential equation, Applied Mathematics and Computation, Vol. 182(2), (2006) 1083-1092.
16. Shaher Momani and Rami Qaralleh, Analytical approximate solution for a nonlinear fractional integro-differential equation, Nonlinear Analysis Forum Journal, Vol. 11(2), (2006) 237-249.
17. Shaher Momani, Salah Abuasad and Zaid Odibat, Variational iteration method for solving
non-linear boundary value problems, Applied Mathematics and Computation, Vol. 183, (2006)
1351-1358.
18. Shaher Momani, General solutions for the space- and time-fractional diffusion-wave equation, Journal of Physical Sciences, Vol. 10, (2006) 30-43.
19. Shaher Momani and Zaid Odibat, Numerical comparison of methods for solving linear differential equations of fractional order, Chaos, Solitons & Fractals, Vol. 31(5), (2007) 1248-1255.
20. Shaher Momani, An algorithm for solving a nonlinear fractional convection-diffusion problem, Communications in Nonlinear Science and Numerical Simulation, Vol. 12(7), (2007) 1283-1290.
21. Shaher Momani and Zaid Odibat, Numerical approach to differential equations of fractional order, Journal of Computational and Applied Mathematics, Vol. 207(1), (2007) 96-110.
22. Shaher Momani and Zaid Odibat, Fractional Green’s function for linear fractional inhomogeneous partial differential equations in fluid mechanics, Journal of Applied Mathematics and Computing, Vol. 24, (2007) 167-178.
23. Shaher Momani and Rami Qaralleh, Numerical approximations and Pade approximants for a fractional population growth model, Applied Mathematical Modelling, Vol. 31(9), (2007) 1907-1914.
24. Shaher Momani and Ziad Odibat, Comparison between homotopy perturbation method and the variational iteration method for linear fractional partial differential equations, Computers and Mathematics with Applications, Vol. 54, (2007) 910-919.
25. Vedat Suat Erturk and Shaher Momani, Comparing numerical method for solving fourth-order boundary value problems, Applied Mathematics and Computation, Vol. 188, (2007) 1963-1968.
26. Rabha Ibrahim and Shaher Momani, On the existence and uniqueness of solutions of a
class of fractional differential equations, Journal of Mathematical Analysis and Applications, Vol. 334(1), (2007) 1-10.
27. Shaher Momani and Ziad Odibat, Homotopy perturbation method for nonlinear partial differential equations of fractional order, Physics Letters A, Vol. 365, (2007) 345-350.
28. Zaid Odibat and Shaher Momani, A reliable treatment of homotopy perturbation method
for Klein-Gordon equations, Physics Letters A, Vol. 365, (2007) 351-357.
29. Khalida Inayat Noor, Muhammad Aslam Noor and Shaher Momani, Modified Householder iterative method for nonlinear equations, Applied Mathematics and Computation, Vol. 190, (2007) 1534-1539.
30. Shaher Momani and Muhammad Aslam Noor, Numerical comparison of methods for solving a special fourth-order boundary value problem, Applied Mathematics and Computation, Vol. 191, (2007) 218-224.
31. Rabha Ibrahim and Shaher Momani, Multiple solutions for multi-order fractional differential equations, Arab Journal of Mathematics and Mathematical Sciences, Vol. 1, (2007) 28-34.
32. Vedat Suat Erturk and Shaher Momani, A reliable algorithm for solving tenth-order boundary value problems, Numerical Algorithms, Vol. 44(2), (2007) 147-158.
33. Zaid Odibat and Shaher Momani, Numerical solution of Fokker-Planck equation with space and time-fractional derivatives, Physics Letters A, Vol. 369 (2007), 349-358.
34. Shaher Momani, Zaid Odibat and Vedat Suat Erturk, Generalized differential transform
method for solving a space- and time-fractional diffusion-wave equation, Physics Letters A, Vol. 370, (2007) 379-387.
35. Hossien Jafari and Shaher Momani, Solving fractional diffusion and wave equations by modified homotopy perturbation method, Physics Letters A, Vol. 370, (2007) 388-396.
36. Zaid Odibat and Shaher Momani, Numerical methods for nonlinear partial differential equations of fractional order, Applied Mathematical modlling, Vol. 32, (2008) 28-39.
37. Shaher Momani and Rabha Ibrahim, On a fractional integral equation of periodic functions
involving Weyl-Riesz operator in Banach algebras, Journal of Mathematical Analysis and
Applications, Vol. 339, (2008) 1210-1219.
38. Zaid Odibat and Shaher Momani, Modified homotopy perturbation method: application to
quadratic Riccati differential equation of fractional order, Chaos, Solitons & Fractals, Vol. 36,
(2008) 167-174.
39. Zaid Odibat and Shaher Momani, A generalized differential transform method for linear
partial differential equations of fractional order, Applied Mathematics Letters, Vol. 21, (2008)
194-199.
40. Shaher Momani and Ziad Odibat, A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula, Journal of Computational and Applied Mathematics, accepted (2007), doi:10.1016/j.cam.2007.07.033.
41. G. H. Erjaee and Shaher Momani, Phase synchronization in fractional differential chaotic
systems. Physics Letters A, accepted (2007), doi:10.1016/j.cam.2007.07.033.
42. Vedat Suat Erturk, Shaher Momani, and Zaid Odibat, Application of generalized differential transform method to multi-order fractional differential equations, Communications in Nonlinear Science and Numerical Simulation, accepted (2007), doi:10.1016/j.cnsns.2007.02.006.
43. Vedat Suat Erturk and Shaher Momani, Solving systems of fractional differential equations using differential transform method, Journal of Computational and Applied Mathematics, accepted (2007), doi:10.1016/j.cam.2007.03.029.
44. Shaher Momani and Vedat Suat Erturk, Solutions of non-linear oscillators by the modified
differential transform method, Computers & Mathematics with Applications, accepted (2007),
doi:10.1016/j.camwa.2007.05.009.
45. M. S. Chowdhury, Ishak Hashim and Shaher Momani, The multistage homotopy perturbation method: A powerful scheme for handling the Lorenz system, Chaos, Solitons &
Fractals, accepted (2007), doi:10.1016/j.chaos.2007.09.073.
46. Omar Abdulaziz, Ishak Hashim and Shaher Momani, Application of homotopy perturbation method to fractional IVPs, Journal of Computational and Applied Mathematics,
accepted (2007), doi:10.1016/j.cam.2007.06.010.
47. Omar Abdulaziz, Ishak Hashim and Shaher Momani, Solving systems of fractional differential equations by homotopy-perturbation method, Physics Letters A, accepted (2007),
doi:10.1016/j.physleta.2007.07.059.
48. Zaid Odibat, Shaher Momani and Vedat Suat Erturk, Generalized differential transform
method: Application to differential equations of fractional order, Applied Mathematics and Computation, Vol. 372(4), (2008) 451-459.
49. Omar Jaradat, Ahmad Al-Omari and Shaher Momani, Existence of the mild solution
for fractional semilinear initial value problems, Nonlinear Analysis Journal: Theory, Methods & Applications, accepted (2007), doi:10.1016/j.na.2007.09.008.
50. Ishak Hashim, Omar Abdulaziz and Shaher Momani, Homotopy analysis method for fractional IVPs, Communications in Nonlinear Science and Numerical Simulation, accepted (2007), doi: 10.1016/j.cnsns.2007.09.014.
51. Shaher Momani, Ziad Odibat and Ahmed Alawneh, Variational iteration method for solving the space- and time-fractional KdV equation, Numerical Methods for Partial Differentia Equations Journal, accepted (2007), doi: 10.1002/num.20247.
52. Shaher Momani and Vedat Suat Erturk, A numerical scheme for the solution of viscous
Cahn-Hilliard equation, Numerical Methods for Partial Differential Equations Journal, accepted (2007), doi: 10.1002/num.20286.
53. Shaher Momani and Ziad Odibat, Numerical solutions of the space-time fractional advection dispersion equation, Numerical Methods for Partial Differential Equations Journal, accepted (2007), doi 10.1002/num.20324.
54. Zaid Odibat and Shaher Momani, Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional order, International Journal of Modern Physics B, accepted (2007).
55. Shaher Momani and Vedat Suat Erturk, Solving a system of fourth-order obstacle boundary value problems by differential transform method, Kybernetes, (2007).
56. Shaher Momani, Omar Jaradat and Rabha Ibrahim, Numerical approximations of a dynamic system containing fractional derivatives, Journal of Applied Sciences, accepted (2008).
57. Zaid Odibat and Shaher Momani, An algorithm for the numerical solution of differential
equations of fractional order, Journal of Applied Mathematics and Informatics, accepted (2007).
58. Ziad Odibat, Shaher Momani and Ahmed Alawneh, Approximate analytical solution of
the space- and time- fractional Burgers equations, Journal Europ´een des Syst´emes Automatis´es (JESA), accepted.
59. Shaher Momani and Rabha Ibrahim, Analytical solutions of a fractional oscillator by the
decomposition method, International Journal of Pure and Applied Mathematics, Vol. 37(1),
(2007) 119-132.
60. M. H. Alnasr and Shaher Momani, Application of homotopy perturbation method to singularly perturbed Volterra integral equations, Journal of Applied Sciences, accepted.
61. Ziad Odibat and Shaher Momani, Fractional Green’s Function for a Class of Fractional
Partial Differential Equations, Journal Europ´een des Syst´emes Automatis´es (JESA), accepted.