D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, Fractional calculus models and numerical methods (Series on Complexity, Nonlinearity and Chaos, World Scientific Publishing, New York, 2012)
D. Baleanu, J.H. Asad, I. Petras, Romanian Reports on Physics 64, 907 (2012)
M. Dalir, M. Bashour, Applied Mathematical Sciences 4, 1021 (2010)
S. Das, Functional Fractional Calculus for System Identification and Controls (Springer, New York, 2008)
I. Podlubny, Fractional Differential Equations (Academic Press Inc., San Diego, CA, 1999)
H. Jafari, M. Saeidy, D. Baleanu, Cent. Eur. J. Phys. 10, 76 (2012)
J. Deng, L. Ma, Appl. Math. Lett. 23, 676 (2010)
A. A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations (Elsevier, San Diego, 2006)
C. G. Li, M. Kosti, M. Li, Sergey Piskarev, Fract. Calc. Appl. Anal. 15, 639 (2012)
S Salahshour, T Allahviranloo, S Abbasbandy, D Baleanu, Advan. Diff. Equ. 2012, 112 (2012)
C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1989)
A. H. Bhrawy, A.S. Alofi, S.S. Ezz-Eldien, Appl. Math. Lett. 24, 2146 (2011)
E. H. Doha, A.H. Bhrawy, S.S. Ezz-Eldien, Appl. Math. Model. 35, 5662 (2011)
A. H. Bhrawy, M.M. Al-Shomrani, Advances in Difference Equations 2012, 8 (2012)
C. Li, F. Zeng, F. Liu, Fractional Calculus and Applied Analysis 15, 383 (2012)
F. Ghoreishi, S. Yazdani, Comput. Math. Appl. 61, 30 (2011)
A. Saadatmandi, M. Dehghan, Comput. Math. Appl. 59, 1326 (2010)
E. H. Doha, A.H. Bhrawy, S.S. Ezz-Eldien, Comput. Math. Appl. 62, 2364 (2011)
E. H. Doha, A.H. Bhrawy, S.S. Ezz-Eldien, Appl. Math. Model. 36, 4931 (2012)
A. H. Bhrawy, M.M. Tharwat, A. Yildirim, Appl. Math. Modell. 37, 4245 (2013)
A. H. Bhrawy, A.S. Alofi, Appl. Math. Lett. 26, 25 (2013)
A. H. Bhrawy, M.A. Alghamdi, T.M. Taha, Advances in Difference Equations 2012, 179 (2012)
K. Diethelm, N.J. Ford, BIT 42, 490 (2002)
F. I. Taukenova, M. Kh. Shkhanukov-Lafishev, Comput. Math. Math. Phys. 46, 1785 (2006)
S. Karimi Vanani, A. Aminataei, Comput. Math. Appl. 62, 1075 (2011)
X. C. Li, W. Chen, The European Physical Journal Special Topics 193, 221 (2011)
A. K. Golmankhaneh, T. Khatuni, N. A. Porghoveh, D. Baleanu, Cent. Eur. J. Phys. 10, 966 (2012)
O. P. Agrawal, Nonlinear Dynamics 29, 145 (2002)
R. L. Magin, Fractional Calculus in Bioengineering (Begell House Publisher., Inc., Connecticut, 2006)
R. Metzler, J. Klafter, Physics Reports 339, 1 (2000)
J. Sabatier, O.P. Agrawal, J.A.T. Machado, Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering (Springer, Netherlands, 2007)
E. Scalas, R. Gorenflo, F. Mainardi, Physica A: Statistical Mechanics and its Applications 284, 376 (2000)
C. Tadjeran, M.M. Meerschaert, H.-P. Scheffler, J. Comput. Phys. 213, 205 (2006)
M. Cui, J. Comput. Phys. 228, 7792 (2009)
A. Saadatmandi, M. Dehghan, Comput. Math. Appl. 62, 1135 (2011)
S. Shen, F. Liu, ANZIAM J. 46, 871 (2005)
Z. Ding, A. Xiao, M. Li, J. Comput. Appl. Math. 233, 1905 (2010)
F. Liu, P. Zhuang, K. Burrage, Comput. Math. Appl. 64, 2990 (2012)
C. Celik, M. Duman, Journal of Computational Physics 231, 1743 (2012)
E. Sousa, J. Comput. Phys. 228, 4038 (2009)
L. Su, W. Wang, Z. Yang, Phys. Lett. A 373, 4405 (2009)
E. L. Ortiz, The tau method, SIAM J. Numer. Anal. Optim. 12, 480 (1969)
E. L. Ortiz, H. Samara, Comput. Math. Appl. 10, 5 (1984)
M. Caputo, J. Roy Austral. Soc. 13, 529 (1967)
K. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (John Wiley & Sons Inc., New York, 1993)
E. Sousa, Comput. Math. Appl. 62, 938 (2011)
