1 |
I. Podlubny, Fractional differential equations, Academic Press, New York, 1999.
|
2 |
A. Sevimlican, An Approximation to Solution of Space and Time Fractional Telegraph Equations by Variational Iteration Method, Mathematical Problems in Engineering, 2010(2010), 1-10.
|
3 |
A.M. Wazwaz, A Reliable Technique for Solving the Wave Equation in Infinite One-dimensional Medium, Applied Mathematics and Computation, 92(1998), 1-7.
|
4 |
A. Yidirim, Homotopy Perturbation Method for Solving the Space and Time Fractional Telegraph Equations, International Journal of Computer Mathematics, 87(2010), 2998-3006.
DOI
ScienceOn
|
5 |
Z. Odibat and S. Momani, Numerical Methods for Nonlinear Partial Differential Equations of Fractional Order, Applied Mathematical Modeling, 32(2008), 28-29.
DOI
ScienceOn
|
6 |
O.P. Agrawal, Solution for a Fractional Diffusion-Wave Equation Defined in Dounded Domain, Journal of Nonlinear Dynamics, 29(2002), 145-155.
DOI
ScienceOn
|
7 |
A.M.O. Anwar, F. Jarad, D. Baleanu and F. Ayaz, Fractional Caputo Heat Equation within the Double Laplace Transform, Romanian Journal of Physics, 58(2013), 15-22.
|
8 |
J. Biazar, E. Babolian and R. Islam, Solution of the System of Volterra Integral Equations of the First Kind by Adomian Decomposition Method, Applied Mathematics and Computation,139(2003), 249-258.
DOI
ScienceOn
|
9 |
J. Biazar, E. Babolian and R. Islam, Solution of the System of Ordinary Differential Equations by Adomian Decomposition Method, Applied Mathematics and Computation, 147(2004), 713-719.
DOI
ScienceOn
|
10 |
K.S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations,Wiley and Sons, New York, 1993.
|
11 |
D. Kaya, A New Approach to the Telegraph Equation: An Application of the Decomposition Method, Bulletin of the Institute of Mathematics Academics Sinica, 28(2000), 51-57.
|
12 |
K. Abboui and Y. Cherruaut, New Ideas for Proving Convergence of Decomposition Methods, Computers and Mathematics with Application, 29(1996), 103-108.
|
13 |
G. Adomain, Solving frontier problems of Physics, Kluwar, Dordrecht, 1994.
|
14 |
S. Momani, Analytic and Approximate Solutions of the Space and Time Fractional Telegraph Equations, Applied Mathmatics and Computation, 170(2005), 1126-1134.
DOI
ScienceOn
|
15 |
K.B. Oldham and J. Spanier, The fractional calculus: Theory and application of differentiation and integration to arbitrary order, Academic Press, New York, 1974.
|
16 |
Y. Khan, J. Diblik, N. Faraz and Z. Smarda, A Efficient New Perturbative Laplace Method for Space-Time Fractional Telegraph Equation, Advances in Difference Equations, 204(2012), 1-9.
|
17 |
A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and application of fractional differential equations, Elsevier, Amstrdam, 2006.
|
18 |
E. Orsingher and X. Zhao, The Space Fractional Telegraph Equation and the Related Fractional Telegraph Process, Chinese Annals of Mathematics Series B, 24(2003), 45-56.
DOI
ScienceOn
|
19 |
U. Hayat and S.T. Mohyud-Din, Homotopy Perturbation Technique for Time Fractional Telegraph Equations, International Journal of Modern Theoretical Physics, 2(2013), 33-41.
|
20 |
J. Paneva-Konovska, Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems, Fractional Calculus and Applied Analysis, 13(2010), 403-414.
|
21 |
V. Parthiban and K. Balachandran, Solutions of System of Fractional Partial Differential Equation, Application and Applied Mathematics: An International Journal, 8 (2013), 289-304.
|
22 |
V. Daftardar-Gejji and H. Jafari, Adomain Decomposition Method: A Tool for Solving Fractional Differential Equations, Journal of Mathematical Analysis and Applications, 301(2005), 508-518.
DOI
ScienceOn
|
23 |
J. Biazar and H. Ebrahimi, An Approximation to the Solution of Telegraph Equation by Adomain Decomposition Method, International Mathematics Fourm, 2(2007), 2231-2236.
DOI
|
24 |
V. Daftardar-Grjji and H. Jafari, Solving a System of Nonlinear Fractional Differential Eqautions using Adomain Decomposition Method, Journal of Computational and Applied Mathematics, 196(2006), 644-651.
DOI
ScienceOn
|
25 |
V. Daftardar-Grjji and H. Jafari, Boundary Value Problems for Fractional Diffusion-Wave Equation, Australian Journal of Mathematical Analysis and Applications, 3(2006), 1449-5910.
|
26 |
V. Daftardar-Gejji, A. Babakhani and R. Islam, Solution of the System of Ordinary Differential Equations by Adomain Decomposition Method, Applied Mathematics and Computation, 147(2004), 713-719.
DOI
ScienceOn
|
27 |
E.C. Eckstein, J.A. Goldstein and M. Leggas, The Mathematics of Suspensions, Kac Walks and Asymptotic Analyticity, Electronic Journal of Differential Equations, 03(1999), 39-50.
|
28 |
H. Eltayeb and A. Kilicman, A Note on Double Laplace transformation and Telegraphic Equations, Abstract and applied analysis, 2013(2013), 1-6.
|
29 |
F. Huang, Analytical Solution for the Time Fractional Telegraph Equation by Laplace and Fourier Transform, Journal of Applied Mathematics, 2009(2009), 1-9.
|
30 |
M. Javidi and B. Ahmed, Numerical Solution of Fractional Partial Differential Equation by Numerical Laplace Inverse Technique, Advances in Difference Equations,375(2013), 1-18.
|
31 |
R.C. Cascaval, E.C. Eckstein, C.L. Frota and J.A. Goldstein,Fractional Telegraph Equations, Journal of Mathematical Analysis and Applications, 276(2002), 145-159.
DOI
ScienceOn
|
32 |
G. Adomain, A Rieview of the Decomposition Method in Applied Mathematics, Journal of Mathematical Analysis and Application, 135(1988), 501-544.
DOI
|
33 |
E. Orsingher and L. Beghin, Time Fractional Telegraph Equations and Telegraph Processes with Brownian Time, Probability Theory and Related Fields, 128(2004), 141-160.
DOI
|