بررسی تحلیلی معادلات انتگرال دیفرانسیل با مشتقات کسری

1. Rawashdeh E. A., "Numerical solution of fractional integro-differential equations by

collocation method", Appl. Math. Comput., 176 (2006) 1-6.

2. Momani S., Noor M. A., "Numerical methods for fourth-order fractional integro-

differential equations", Appl. Math. Comput., 182 (1) (2006) 754-760.

3. Lepik U., "Solving fractional integral equations by the Haar wavelet method", Appl.

Math. Comput., 214 (2) (2009) 468-478.

4. Arikoglu A., Ozkol I., "Solution of fractional integro-differential equations by using

fractional differential transform method", Chaos, Solitons & Fractals (2007).

5. Ghasemi M., Fardi M., Khoshsiar Ghaziani R., "A new application of the homotopy

analysis method in solving the fractional Volterra’s population system", Applications

of Mathematics, (2013) In press.

6. Esmaeili Sh., Shamsi M., Dehghan M., "Numerical solution of fractional differential

equations via a Volterra integral equation approach", Cent. Eur. J. Phys. (2013) In

press.

7. Jafari H., Khalique C. M., Ramezani M., Tajadodi H., "Numerical solution of frac-

tional differential equations by using fractional B-spline", Cent. Eur. J. Phys., (2013)

In press.

8. Jafari H., Sayevand K., Tajadodi H., Baleanu D., "Homotopy analysis method for

solving Abel differential equation of fractional order", Cent. Eur. J. Phys., (2013) In

press.

9. Jafari H., Saeidy M., Baleanu D., "The variational iteration method for solving n-th

order fuzzy differential equations", Cent. Eur. J. Phys., 10(1) (2012) 76-85.

10. He J. H., "Variational iteration method-a kind of nonlinear analytical technique:

Some examples", Int. J. Nonlinear Mech. 34 (1999) 699-708.

11. He J. H., "A review on some new recently developed nonlinear analytical techniques",

Int. J. Nonlinear Sci. Numer, Simul, 1 (2000) 51-70.

12. He J.H., "Non-perturbative methods for strongly nonlinear problems", Dissertation,

de-Verlag im Internet GmbH, Berlin (2006).

13. He J. H., Variational iteration method-some relent results and new interpretations",

J. Comput. Appl. Math. 207 (2007) 3-17.

14. He J. H., "Variational iteration method for autonomous ordinary differential systems",

Appl. Math. Comput. 114 (2000) 115-123.

15. He J. H., Wu X. H., "Construction of solitary solutions and compacton-like solution

by Variational iteration method", Chaos Solitons Fractals 29 (2006) 108-113.

16. Shakeri F., Dehghan M., "Numerical solution of the Klein-Gordon equation via He’s

variational iteration method", Nonlinear Dynamics 51 (2008) 89-97.

17. Dehghan M., Shakeri F., "Approximate solution of a differential equation arising in

astrophysics using the variational iteration method", New Astron. 13 (2008) 53-59.

18. Shakeri F., Dehghan M., "Solution of a model describing biological species living to-

gether using the variational iteration method", Math. Comput. Modelling 48 (2008)

2175-2188.

19. Dehghan M., Tatari M., "Identifying an unknown function in a parabolic equation

with overspecified data via He’s variational iteration method", Chaos Solitons Frac-

tals 36 (2008) 157-166.

20. He J. H., Wu X.H., "Variational iteration method: New development and applications",

Comput. Math. Appl. 54 (2007) 881-894.

21. He J. H., "Variational iteration method: Some recent results and new interpretations",

Comput. Appl. Math. 207 (2007) 3-17.

22. Kilbas A. A., Srivastava H.H., Trujillo J.J., "Theory and Applications of Fractional

Differential Equations", Elsevier Science B.V., Amsterdam (2006).

23. Podlubny I., "Fractional Differential Equations", Academic Press, San Diego (1999).