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An approximation to solution of space and time fractional telegraph equations by the variational iteration method. (An aproximation to solution of space and time fractional telegraph equations by the variational iteration method.) (English) Zbl 1264.65172

MSC:
65M99Numerical methods for IVP of PDE
34A08Fractional differential equations
45K05Integro-partial differential equations
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References:
[1] J.-H. He, “Approximate analytical solution for seepage flow with fractional derivatives in porous media,” Computer Methods in Applied Mechanics and Engineering, vol. 167, no. 1-2, pp. 57-68, 1998. · Zbl 0942.76077 · doi:10.1016/S0045-7825(98)00108-X
[2] J. H. He, “Asymptotic methods for solitary solutions and compactons,” Abstract and Applied Analysis. In press.
[3] A. Sevimlican, “An approximation to solution of space and time fractional telegraph equations by He’s variational iteration method,” Mathematical Problems in Engineering, vol. 2010, Article ID 290631, 10 pages, 2010. · Zbl 1191.65137 · doi:10.1155/2010/290631 · eudml:230924
[4] J.-H. He, “Some asymptotic methods for strongly nonlinear equations,” International Journal of Modern Physics B, vol. 20, no. 10, pp. 1141-1199, 2006. · Zbl 1102.34039 · doi:10.1142/S0217979206033796
[5] J.-H. He, “A short remark on fractional variational iteration method,” Physics Letters A, vol. 375, no. 38, pp. 3362-3364, 2011. · Zbl 1252.49027 · doi:10.1016/j.physleta.2011.07.033
[6] G.-C. Wu, “A fractional variational iteration method for solving fractional nonlinear differential equations,” Computers & Mathematics with Applications, vol. 61, no. 8, pp. 2186-2190, 2011. · Zbl 1219.65085 · doi:10.1016/j.camwa.2010.09.010
[7] G.-C. Wu and E. W. M. Lee, “Fractional variational iteration method and its application,” Physics Letters A, vol. 374, no. 25, pp. 2506-2509, 2010. · Zbl 1237.34007 · doi:10.1016/j.physleta.2010.04.034