[1] J.-H. He, Approximate analytiçal solution for seepage flow with fraçtional derivatives in porous media, Computer Methods in Applied Mechanics and Engineering 167 (1998), 57-68.
[2] R. Y. Molliq, M. S. M. Noorani and I. Hashim, Variational iteration method for fraçtional heat-and wave-like equations, Nonlinear Analysis: Real World Applications 10 (2009), 1854-1869.
[3] N. T. Shawagfeh, Analytiçal approximate solutions for nonlinear fraçtional differential equations, Applied Mathematics and Computation 131 (2002), 517-529.
ÇUJSE
9
(2012), No. 2
147
[4]
S
. Momani and Z. Obibat, Numeriçal approaçh to differential equations of fraçtional order,
Journal of Computational and Applied Mathematics 207 (2007), 96-110. [5] S. Momani and Z. Odibat, Homotopy perturbation method for nonlinear partial differential
equations of fraçtional order, Physics Letters A 365 (2007), 345-350. [6] Z. Odibat, Exaçt solitary solutions for variants of the KdV equations with fraçtional time
derivatives, Chaos, Solitons & Fractals 40 (2009), 1264-1270. [7] H. Xu and J. Cang, Analysis of a time fraçtional wave-like equation with the homotopy analysis
method, Physics Letters A 372 (2008), 1250-1255. [8] L. Song and H. Q. Zhang, Appliçation of homotopy analysis method to fraçtional KdV-
Burgers-Kuramoto equation, Physics Letters A 367 (2007), 88-94. [9] H. Jafari and S. Seifi, Homotopy analysis method for solving linear and nonlinear fraçtional
diffusion-wave equation, Communications in Nonlinear Science and Numerical Simulation 14
(2009), 2006-2012.
[10] S. J. Liao, The Proposed Homotopy Analysis Tecnique for the Solution of Nonlinear Problems,
Ph.D. Thesis, Shanghai Jiao Tong University, Shanghai 1992. [11] S. J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman
and Hall/CRC Press, Boça Raton 2003. [12] S. J. Liao, Homotopy analysis method: A new analytiçal teçhnique for nonlinear problems,
Communications in Nonlinear Science and Numerical Simulation 2 (1997), 95-100. [13] S. J. Liao, On the homotopy analysis method for nonlinear problems, Applied Mathematics
and Computation 147 (2004), 499-513.
[14] L. Podlubny, Fractional Differantial Equations, Açademiç Press, London 1999.
[15] M. Caputo, Linear models of dissipation whose Q is almost frequençy independent-II, Geo¬physical Journal International 13 (1967), 529-539.
[16] M. Caputo, Elasticita e Dissipazione, Zaniçhelli Publisher, Bologna, 1969.
[17] L. Song, Q. Wang and H. Zhang, Rational approximation solution of the fraçtional Sharma-Tasso-Olever equation, Journal of Computational and Applied Mathematics 224 (2009), 210¬218.
[18] S. J. Liao, Notes on the homotopy analysis method: Some definitions and theorems, Commu¬nications in Nonlinear Science and Numerical Simulation 14 (2009), 983-997.
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