1 |
P. Kumar, S. Kumar and B. Raman, A fractional order variational model for the robust estimation of optical flow from image sequences, Optik - International Journal for Light and Electron Optics, 127(2016), 8710-8727.
DOI
|
2 |
A. Arikoglu and I. Ozkol, Solution of fractional differential equations by using differential transform method, Chaos Solitons Fract, 34(2007), 1473-1481.
DOI
|
3 |
S. El-Wakil, A. Elhanbaly and M. Abdou, Adomian decomposition method for solving fractional nonlinear differential equations, Appl. Math. Comput., 182(2006), 313-324.
DOI
|
4 |
M. Fouda, A. Elwakil, A. Radwan and A. Allagui, Power and energy analysis of fractional-order electrical energy storage devices, Energy, 111(2016), 785-792.
DOI
|
5 |
M. K. Ishteva, Properties and applications of the Caputo fractional operator, Master's thesis, University Karlsruhe, Germany, 2005.
|
6 |
S. Kazema, S. Abbasbandya and S. Kumar, Fractional-order Legendre functions for solving fractional-order differential equations, Appl. Math. Model., 37(2013), 5498- 5510.
DOI
|
7 |
Z. M. Odibat, A study on the convergence of variational iteration method, Math. Comput. Modelling, 51(2010), 1181-1192.
DOI
|
8 |
D. Rostamy and E. Mottaghi, Stability analysis of a fractional-order epidemics model with multiple equilibriums, Adv. Difference Equ., (2016), Paper No. 170, 11 pp.
|
9 |
M. Yi and J. Huang, Wavelet operational matrix method for solving fractional differential equations with variable coefficients, Appl. Math. Comput., 230(2014), 383-394.
DOI
|
10 |
K. S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations, John Wiley & Sons., 1993.
|
11 |
Z. M. Odibat and S. Momani, Application of variational iteration method to nonlinear differential equations of fractional order, Int. J. Nonlinear Sci. Numer. Simul., 7(2006), 27-34.
|
12 |
J. H. Mathews, Numerical methods for mathematics, Science, and Engineering, Prentice Hall, 1992.
|
13 |
H. R. Marzban and M. Razzaghi, Analysis of time-delay systems via hybrid of blockpulse functions and Taylor series, J. Vib. Control, 11(2005), 1455-1468.
DOI
|
14 |
G. Groza and M. Razzaghi, A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations, Comput. Math. Appl., 66(2013), 1329-1343.
DOI
|
15 |
V. S. Krishnasamy and M. Razzaghi, The numerical solution of the Bagley-Torvik equation with fractional Taylor method, J. Comput. Nonlinear Dynam., 11(2016), 051010, 6 pp.
DOI
|
16 |
Y. Li and W. Zhao, Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations, Appl. Math. Comput., 216(2010), 2276-2285.
DOI
|
17 |
M. Meerschaert and C. Tadjeran, Finite difference approximations for two-sided space-fractional partial differential equations, Appl. Numer. Math., 56(2006), 80-90.
DOI
|