[1] A. Carpinteri and F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics, Springer Verlag,
Wien, New York, 1997.
[2] K. S. Miller and B. Ross,An Introduction to the Fractional Calculus and Fractional Differential Equations,
Wiley, New York, 1993.
[3] K. B. Oldham and J. Spanier, The Fractional Calculus. Academic Press, New York, 1974.
[4] I. Podlubny, Fractional Differential Equations. Academic Press, San Diego, 1999.
[5] I. Podlubny. Fractional-order systems and fractional-order controllers. Report UEF-03-94, Slovak Academy of
Sciences, Institute of Experimental Physics, Kosice, Slovakia, November 1994, 18p.
[6] R. Gorenflo and F. Mainardi, Fractional calculus: integral and differential equations of fractional order, in: A.
carpinteri, f. mainardi (eds.), fractals and fractional calculus in continuum mechanics, Springer, New York,
(1997), 223–276.
[7] W. R. Schneider and W. Wyess, Fractional diffusion and wave equations, J. Math. Phys., 30(1989), 134–144.
[8] U. Lepik, Solving pdes with the aid of two-dimensional haar wavelets, Comput. Math. Appl., 61(2011), 1873–
1879.
[9] U. Anderson and B. Engquist, A contribution to wavelet-based subgrid modeling, Appl. Comput. Harmon.
Model, 7(1999), 151–164.
[10] C. Cattani, Haar wavelets based technique in evolution problems, Chaos,Proc. Estonian Acad. Sci. Phys. Math,
1(2004), 45–63.
[11] N. Coult, Explicit formulas for wavelet-homogenized coefficients of elliptic operators, Appl. Comput. Harmon.
Anal, 21(2001), 360–375.
[12] X. Chen, J. Xiang, B. Li, and Z. He, A study of multiscale wavelet-based elements for adaptive finite element
analysis, Adv. Eng. Softw, 41(2010),196–205.
[13] G. Hariharan, K. Kannan, and K.R. Sharma, Haar wavelet method for solving fishers equation, Appl. Math.
Comput, 211(2)(2009), 284–292.
[14] P. Mrazek and J. Weickert, From two-dimensional nonlinear diffusion to coupled haar wavelet shrinkage, J. Vis.
Commun. Image. Represent, 18(2007),162–175.
[15] W. Fan and P. Qiao, A 2-d continuous wavelet transform of mode shape data for damage detection of plate
structures, Internat. J. Solids Structures, 46(2003), 6473–6496.
[16] J. E. Kim, G.-W. Yang, and Y.Y. Kim, Adaptive multiscale wavelet-galerkin analysis for plane elasticity problems and its application to multiscale topology design optimation, internat. j. solids structures, Comput. Appl.
Math., 40(2003), 6473–6496.
[17] Y. Shen and W. Li, The natural integral equations of plane elasticity problems and its wavelet methods, Appl.
Math. Comput., 150 (2)(2004),417–438.
[18] Z. Chun and Z. Zheng, Three-dimensional analysis of functionally graded plate based on the haar wavelet
method, Acta. Mech. Solida. Sin., 20(2)(2007), 95–102.
[19] H. F. Lam and C. T. Ng, A probabilistic method for the detection of obstructed cracks of beam-type structures
using spacial wavelet transform,Probab. Eng. Mech., 23(2008), 239–245.
[20] J. Majak, M. Pohlak, M. Eerme, and T. Lepikult, Weak formulation based haar wavelet method for solving
differential equations, Appl. Math. Comput., 211(2009), 488–494.
[21] L. M. S. Castro, A. J. M. Ferreira, S. Bertoluzza, R.C. Patra, and J.N. Reddy, A wavelet collocation method for
the static analysis of sandwich plates ussing a layerwise theory, Compos. Struct., 92(2010), 1786–1792.
[22] M. H. Heydari, M. R. Hooshmandasl, M. F. Maalek Ghaini and F. Fereidouni, Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions Engineering Anal. Boun.
Elem., 37(2013),1331-1338.
[23] L. Nanshan and E. B. Lin, Legendre wavelet method for numerical solutions of partial differential equations,
Numer. Methods Partial Dierential Equations, 26(1):81–94, 2009.
[24] M. U. Rehman and R. A. Khan, The legendre wavelet method for solving fractional differential equations,
Commun. Nonlinear Sci. Numer. Simul., 227(2)(2009), 234–244.
[25] A. Kilicman and Z.A. Al Zhour, Kronecker operational matrices for fractional calculus and some applications,
Appl. Math. Comput., 187(1)(2007), 250–65.
[26] M. H. Heydari, M. R. Hooshmandasl, F. M. Maalek Ghaini and F. Mohammadi, Wavelet Collocation Method for
Solving Multiorder Fractional Differential Equations, J. Appl. Math., vol. 2012, Article ID 542401, 19 pages,
2012. doi:10.1155/2012/542401.
[27] A. M. Wazwaz, Partial differential equations and solitary waves theory, Springer, Chicago, 2009.