Solving a system of linear fredholm fractional integro-differential equations using homotopy perturbation method

Australian Journal of Basic and Applied Sciences

Volumn 4, Issue 4, 2010, Pages 633-638

  Saeed, Rostam K ^a   Sdeq, Hassan M ^a  

^a SALAHADDIN UNIVERSITY   (Iraq)

Author keywords

Fractional derivatives; Homotopy perturbation method; System of linear Fredholm Fractional integro differential equations

Indexed keywords

EID: 77953000182     PISSN: 19918178     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Arikoglu, A. and I. Ozkol, 2007. Solution of fractional integro-differential equations by using fractional differential transform method, Choas, Solitons and Fractals, Article in press, doi:10.101/j.
2. Dftardar-Gejji, V., 2005. positive solutions of a non-autonomous fractional differential equations J. Math. Anal., 302: 56-64.
3. He, J.H., 1999. Homotopy perturbation technique, Comu. Methods Appl. Mech. Engrg., 178: 257-262.
4. He, J.H., 2000. A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int. J. Non-Linear Mech., 35(1): 37-43.
5. He, J.H., 2004. The homotopy perturbation method for non-linear oscillators with discontinuities, Applied Mathematics and Computation, 151(1): 287-292.
6. He, J.H., 2004. Asymptotology by homotopy perturbation method, Applied Mathematics and Computation, 156(3): 591-596.
7. He, J.H., 2005. Application of homotopy perturbation method to nonlinear wave equations, Chaos, Solitons and Fractals, 26(3): 695-700.
8. He, J.H., 2006. Homotopy perturbation method for solving boundary problems, Phys. Lett., 350(1-2): 87-88.
9. Momani, S. and M.A. Noor, 2006. Numerical methods for fourth order fractional integro-differential equations, Applied Mathematics and Computation, 182: 754-760.
10. Momani, S. and A. Qaralleh, 2006. An efficient method for solving systems of fractional integrodifferential equations, Applied Mathematics and Computation, 52: 459-470.
11. Podlubny, I., 1999. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. New York: Academic press.
12. Rawashdeh, E.A., 2006. Numerical solution of fractional integro-differential equations by collocation method, Applied Mathematics and Computation, 176: 1-6. 638