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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:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
34A08 Fractional ordinary differential equations
45K05 Integro-partial differential equations
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[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
[2] J. H. He, “Asymptotic methods for solitary solutions and compactons,” Abstract and Applied Analysis. In press. · Zbl 1257.35158
[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
[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
[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
[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
[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
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