Shaher Momani

Personal Home Page

http://www.mutah.edu.jo/userhomepages/shmomani/pers.htm

Articles in Scholarly Journals [Incomplete List]

  1. Numerical methods for nonlinear partial differential equations of fractional order
    Applied Mathematical Modelling, vol. 32, no. 1, pp. 28–39, 2008
  2. Generalized differential transform method: Application to differential equations of fractional order
    Applied Mathematics and Computation, vol. 197, no. 2, pp. 467–477, 2008
  3. Solutions of non-linear oscillators by the modified differential transform method
    Computers & Mathematics with Applications, vol. 55, no. 4, pp. 833–842, 2008
  4. Application of homotopy-perturbation method to fractional IVPs
    Journal of Computational and Applied Mathematics, vol. 216, no. 2, pp. 574–584, 2008
  5. Solving systems of fractional differential equations using differential transform method
    Journal of Computational and Applied Mathematics, vol. 215, no. 1, pp. 142–151, 2008
  6. A numerical scheme for the solution of viscous Cahn–Hilliard equation
    Numerical Methods for Partial Differential Equations, vol. 24, no. 2, pp. 663–669, 2008
  7. A generalized differential transform method for linear partial differential equations of fractional order
    Applied Mathematics Letters, vol. 21, no. 2, pp. 194–199, 2008
  8. On a fractional integral equation of periodic functions involving Weyl–Riesz operator in Banach algebras
    Journal of Mathematical Analysis and Applications, vol. 339, no. 2, pp. 1210–1219, 2008
  9. Solving systems of fractional differential equations by homotopy-perturbation method
    Physics Letters A, vol. 372, no. 4, pp. 451–459, 2008
  10. Phase synchronization in fractional differential chaotic systems
    Physics Letters A, vol. 372, no. 14, pp. 2350–2354, 2008
  11. Analytic study on time-fractional Schrödinger equations: exact solutions by GDTM
    Journal of Physics: Conference Series, vol. 96, p. 012066, 2008
  12. Application of generalized differential transform method to multi-order fractional differential equations
    Communications in Nonlinear Science and Numerical Simulation, vol. 13, no. 8, pp. 1642–1654, 2008
  13. Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
    Chaos, Solitons & Fractals, vol. 36, no. 1, pp. 167–174, 2008
  14. Solving a system of fourth-order obstacle boundary value problems by differential transform method
    Kybernetes, vol. 37, no. 2, pp. 315–325, 2008
  15. Homotopy perturbation method for nonlinear partial differential equations of fractional order
    Physics Letters A, vol. 365, no. 5-6, pp. 345–350, 2007
  16. Solving fractional diffusion and wave equations by modified homotopy perturbation method
    Physics Letters A, vol. 370, no. 5-6, pp. 388–396, 2007
  17. Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
    Physics Letters A, vol. 370, no. 5-6, pp. 379–387, 2007
  18. A reliable algorithm for solving tenth-order boundary value problems
    Numerical Algorithms, vol. 44, no. 2, pp. 147–158, 2007
  19. Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
    Journal of Applied Mathematics and Computing, vol. 24, no. 1-2, pp. 167–178, 2007
  20. An algorithm for solving the fractional convection–diffusion equation with nonlinear source term
    Communications in Nonlinear Science and Numerical Simulation, vol. 12, no. 7, pp. 1283–1290, 2007
  21. Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
    Computers & Mathematics with Applications, vol. 54, no. 7-8, pp. 910–919, 2007
  22. On the existence and uniqueness of solutions of a class of fractional differential equations
    Journal of Mathematical Analysis and Applications, vol. 334, no. 1, pp. 1–10, 2007
  23. A reliable treatment of homotopy perturbation method for Klein–Gordon equations
    Physics Letters A, vol. 365, no. 5-6, pp. 351–357, 2007
  24. Numerical solution of Fokker–Planck equation with space- and time-fractional derivatives
    Physics Letters A, vol. 369, no. 5-6, pp. 349–358, 2007
  25. Numerical comparison of methods for solving linear differential equations of fractional order
    Chaos, Solitons & Fractals, vol. 31, no. 5, pp. 1248–1255, 2007
  26. Comparing numerical methods for solving fourth-order boundary value problems
    Applied Mathematics and Computation, vol. 188, no. 2, pp. 1963–1968, 2007
  27. Numerical approximations and Padé approximants for a fractional population growth model
    Applied Mathematical Modelling, vol. 31, no. 9, pp. 1907–1914, 2007
  28. Numerical comparison of methods for solving a special fourth-order boundary value problem
    Applied Mathematics and Computation, vol. 191, no. 1, pp. 218–224, 2007
  29. Modified Householder iterative method for nonlinear equations
    Applied Mathematics and Computation, vol. 190, no. 2, pp. 1534–1539, 2007
  30. Variational iteration method for solving the space- and time-fractional KdV equation
    Numerical Methods for Partial Differential Equations, vol. 24, no. 1, pp. 262–271, 2007
  31. Numerical approach to differential equations of fractional order
    Journal of Computational and Applied Mathematics, vol. 207, no. 1, pp. 96–110, 2007
  32. Application of He’s variational iteration method to Helmholtz equation
    Chaos, Solitons & Fractals, vol. 27, no. 5, pp. 1119–1123, 2006
  33. Non-perturbative analytical solutions of the space- and time-fractional Burgers equations
    Chaos, Solitons & Fractals, vol. 28, no. 4, pp. 930–937, 2006
  34. An efficient method for solving systems of fractional integro-differential equations
    Computers & Mathematics with Applications, vol. 52, no. 3-4, pp. 459–470, 2006
  35. Analytical approach to linear fractional partial differential equations arising in fluid mechanics
    Physics Letters A, vol. 355, no. 4-5, pp. 271–279, 2006
  36. Variational iteration method for solving nonlinear boundary value problems
    Applied Mathematics and Computation, vol. 183, no. 2, pp. 1351–1358, 2006
  37. Decomposition method for solving fractional Riccati differential equations
    Applied Mathematics and Computation, vol. 182, no. 2, pp. 1083–1092, 2006
  38. Numerical methods for fourth-order fractional integro-differential equations
    Applied Mathematics and Computation, vol. 182, no. 1, pp. 754–760, 2006
  39. A numerical scheme for the solution of multi-order fractional differential equations
    Applied Mathematics and Computation, vol. 182, no. 1, pp. 761–770, 2006
  40. Approximate solutions for boundary value problems of time-fractional wave equation
    Applied Mathematics and Computation, vol. 181, no. 1, pp. 767–774, 2006
  41. Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method
    Applied Mathematics and Computation, vol. 177, no. 2, pp. 488–494, 2006
  42. A reliable algorithm for solving fourth-order boundary value problems
    Journal of Applied Mathematics and Computing, vol. 22, no. 3, pp. 185–197, 2006
  43. Decomposition method for solving a system of fourth-order obstacle boundary value problems
    Applied Mathematics and Computation, vol. 175, no. 2, pp. 923–931, 2006
  44. An explicit and numerical solutions of the fractional KdV equation
    Mathematics and Computers in Simulation, vol. 70, no. 2, pp. 110–118, 2005
  45. Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
    Applied Mathematics and Computation, vol. 165, no. 2, pp. 459–472, 2005
  46. A numerical scheme for the solution of Sivashinsky equation
    Applied Mathematics and Computation, vol. 168, no. 2, pp. 1273–1280, 2005
  47. Numerical solutions for systems of fractional differential equations by the decomposition method
    Applied Mathematics and Computation, vol. 162, no. 3, pp. 1351–1365, 2005
  48. Approximate wave solutions for generalized Benjamin–Bona–Mahony–Burgers equations
    Applied Mathematics and Computation, vol. 171, no. 1, pp. 281–292, 2005
  49. Analytic and approximate solutions of the space- and time-fractional telegraph equations
    Applied Mathematics and Computation, vol. 170, no. 2, pp. 1126–1134, 2005
  50. An approximate solution for a fractional diffusion-wave equation using the decomposition method
    Applied Mathematics and Computation, vol. 165, no. 2, pp. 473–483, 2005
  51. International Journal of Modern Physics C [Computational Physics and Physical Computation], vol. 15, no. 7, p. 967, 2004
  52. Some analytical properties of solutions of differential equations of noninteger order
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 13, pp. 697–701, 2004
  53. Lyapunov stability solutions of fractional integrodifferential equations
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 47, pp. 2503–2507, 2004