-
1
-
-
34247477202
-
On fractional order differential equations model for nonlocal epidemics
-
Ahmed E., and Elgazzar A.S. On fractional order differential equations model for nonlocal epidemics. Phys A 379 2 (2007) 607-614
-
(2007)
Phys A
, vol.379
, Issue.2
, pp. 607-614
-
-
Ahmed, E.1
Elgazzar, A.S.2
-
2
-
-
33750295344
-
Equilibrium points, stability, and numerical solutions of fractional-order predator-prey and rabies models
-
Ahmed E., El-Sayed A.M.A., and Elsaka H.A.A. Equilibrium points, stability, and numerical solutions of fractional-order predator-prey and rabies models. J Math Anal Appl 325 1 (2007) 542-553
-
(2007)
J Math Anal Appl
, vol.325
, Issue.1
, pp. 542-553
-
-
Ahmed, E.1
El-Sayed, A.M.A.2
Elsaka, H.A.A.3
-
3
-
-
64549120203
-
An efficient method for solving fractional Sturm-Liouville problems
-
Al-Mdallal Q.M. An efficient method for solving fractional Sturm-Liouville problems. Chaos, Solitons Fractals 40 1 (2009) 183-189
-
(2009)
Chaos, Solitons Fractals
, vol.40
, Issue.1
, pp. 183-189
-
-
Al-Mdallal, Q.M.1
-
4
-
-
85196150117
-
On the numerical solution of fractional Sturm-Liouville problems
-
Al-Mdallal Q.M. On the numerical solution of fractional Sturm-Liouville problems. Int J Comput Math 99999 (2009) 1
-
(2009)
Int J Comput Math
, vol.99999
, pp. 1
-
-
Al-Mdallal, Q.M.1
-
5
-
-
35248854592
-
Efficient shooting method for solving two point boundary value problems
-
Attili B., and Syam M. Efficient shooting method for solving two point boundary value problems. Chaos, Solitons Fractals 35 5 (2008) 895-903
-
(2008)
Chaos, Solitons Fractals
, vol.35
, Issue.5
, pp. 895-903
-
-
Attili, B.1
Syam, M.2
-
7
-
-
0021439912
-
On the appearance of the fractional derivative in the behavior of real materials
-
Bagley R.L., and Torvik P.J. On the appearance of the fractional derivative in the behavior of real materials. ASME J Appl Mech 51 2 (1984) 294-298
-
(1984)
ASME J Appl Mech
, vol.51
, Issue.2
, pp. 294-298
-
-
Bagley, R.L.1
Torvik, P.J.2
-
8
-
-
84981825145
-
Definition of physically consistent damping laws with fractional derivatives
-
Beyer H., and Kempfle S. Definition of physically consistent damping laws with fractional derivatives. Zeitschrift fr Angewandte Mathematik und Mechanik 75 8 (1995) 623-635
-
(1995)
Zeitschrift fr Angewandte Mathematik und Mechanik
, vol.75
, Issue.8
, pp. 623-635
-
-
Beyer, H.1
Kempfle, S.2
-
9
-
-
0004171153
-
Numerical treatment of differential equations of fractional order
-
Manchester Center for Numerical Computational Mathematics;
-
Blank L. Numerical treatment of differential equations of fractional order. Numerical Analysis Report 287, Manchester Center for Numerical Computational Mathematics; 1996.
-
(1996)
Numerical Analysis Report
, vol.287
-
-
Blank, L.1
-
10
-
-
10344238128
-
Adomian decomposition: a tool for solving a system of fractional differential equations
-
Daftardar-Geiji V., and Jafari H. Adomian decomposition: a tool for solving a system of fractional differential equations. J Math Anal Appl 301 2 (2005) 508-518
-
(2005)
J Math Anal Appl
, vol.301
, Issue.2
, pp. 508-518
-
-
Daftardar-Geiji, V.1
Jafari, H.2
-
11
-
-
33845961350
-
Analysis of a system of nonautonomous fractional differential equations involving Capato derivatives
-
Daftardar-Geiji V., and Jafari H. Analysis of a system of nonautonomous fractional differential equations involving Capato derivatives. J Math Anal Appl 328 (2007) 1026-1033
-
(2007)
J Math Anal Appl
, vol.328
, pp. 1026-1033
-
-
Daftardar-Geiji, V.1
Jafari, H.2
-
12
-
-
0001618393
-
An algorithm for the numerical solution of differential equations of fractional order
-
Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Elect Translat Numer Anal 5 (1997) 1-6
-
(1997)
Elect Translat Numer Anal
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
13
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Diethelm K., Ford N.J., and Freed A.D. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam 29 (2002) 3-22
-
(2002)
Nonlinear Dynam
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
14
-
-
54549122514
-
Applications of He's variational iteration method to solve semidifferential equations of nth order
-
Ghorbani A., and Alavi A. Applications of He's variational iteration method to solve semidifferential equations of nth order. Math Prob Eng 2008 (2008) 1-9
-
(2008)
Math Prob Eng
, vol.2008
, pp. 1-9
-
-
Ghorbani, A.1
Alavi, A.2
-
15
-
-
0035500967
-
A nonlinear shooting method for two point boundary value problems
-
Ha S.N. A nonlinear shooting method for two point boundary value problems. Comput Math Appl 42 (2001) 1411-1420
-
(2001)
Comput Math Appl
, vol.42
, pp. 1411-1420
-
-
Ha, S.N.1
-
18
-
-
46049100549
-
A fractional-order implicit difference approximation for the space-time fractional diffusion equation
-
Liw F., Zhuang P., Anh V., and Turner J. A fractional-order implicit difference approximation for the space-time fractional diffusion equation. ANZJAMJ 47 (2006) C48-C68
-
(2006)
ANZJAMJ
, vol.47
-
-
Liw, F.1
Zhuang, P.2
Anh, V.3
Turner, J.4
-
19
-
-
51349139941
-
Theory of fractional functional differential equations
-
Lakshmikantham V. Theory of fractional functional differential equations. Nonlinear Anal: Theory, Meth Appl 69 10 (2008) 3337-3343
-
(2008)
Nonlinear Anal: Theory, Meth Appl
, vol.69
, Issue.10
, pp. 3337-3343
-
-
Lakshmikantham, V.1
-
20
-
-
45049084850
-
General uniqueness and monotone iterative technique for fractional differential equations
-
Lakshmikantham V., and Vatsala A.S. General uniqueness and monotone iterative technique for fractional differential equations. Appl. Math. Letters 21 8 (2008) 828-834
-
(2008)
Appl. Math. Letters
, vol.21
, Issue.8
, pp. 828-834
-
-
Lakshmikantham, V.1
Vatsala, A.S.2
-
21
-
-
0000717432
-
Discretized fractional calculus
-
Lubich C. Discretized fractional calculus. SIAM J Math Anal 17 3 (1986) 704-719
-
(1986)
SIAM J Math Anal
, vol.17
, Issue.3
, pp. 704-719
-
-
Lubich, C.1
-
22
-
-
34250094006
-
Convoluton quadrature and discretized operational calculus (part II)
-
Lubich C. Convoluton quadrature and discretized operational calculus (part II). Numerisch Mathematik 52 4 (1988) 413-425
-
(1988)
Numerisch Mathematik
, vol.52
, Issue.4
, pp. 413-425
-
-
Lubich, C.1
-
23
-
-
0038445397
-
Fractional relaxiation and fractional diffusion equations: Mathematical aspects
-
Mainardi F. Fractional relaxiation and fractional diffusion equations: mathematical aspects. In: Proceedings of the 14th IMACS world congress, vol. 1; 1994. p. 329-32.
-
(1994)
Proceedings of the 14th IMACS world congress
, vol.1
, pp. 329-332
-
-
Mainardi, F.1
-
24
-
-
30244460855
-
The fundamental solution for the fractional diffusion-wave equation
-
Mainardi F. The fundamental solution for the fractional diffusion-wave equation. Appl Math Lett 9 6 (1996) 23-28
-
(1996)
Appl Math Lett
, vol.9
, Issue.6
, pp. 23-28
-
-
Mainardi, F.1
-
25
-
-
0030464353
-
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
-
Mainardi F. Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos, Solutions Fractals 7 (1996) 1461-1477
-
(1996)
Chaos, Solutions Fractals
, vol.7
, pp. 1461-1477
-
-
Mainardi, F.1
-
26
-
-
3042930667
-
Derivatives of noninteger order and their applications
-
Michalski M.W. Derivatives of noninteger order and their applications. Dissertationes Mathematicae 328 (1993) 1-47
-
(1993)
Dissertationes Mathematicae
, vol.328
, pp. 1-47
-
-
Michalski, M.W.1
-
28
-
-
36549063424
-
A generalized differential transform for linear partial differential equations of fractional order
-
Obaidat Z., and Momani S. A generalized differential transform for linear partial differential equations of fractional order. Appl Math Lett 21 (2008) 194-199
-
(2008)
Appl Math Lett
, vol.21
, pp. 194-199
-
-
Obaidat, Z.1
Momani, S.2
-
29
-
-
0027146124
-
Representation of the absorption of nonlinear waves by fractional derivatives
-
Ochmann M., and Makarov S. Representation of the absorption of nonlinear waves by fractional derivatives. J Acoust Soc Am 94 6 (1993) 3392-3399
-
(1993)
J Acoust Soc Am
, vol.94
, Issue.6
, pp. 3392-3399
-
-
Ochmann, M.1
Makarov, S.2
-
31
-
-
25644439033
-
Analytical solution of the Bagley Torvik equation by Adomian decomposition method
-
Saha Ray S., and Bera R.K. Analytical solution of the Bagley Torvik equation by Adomian decomposition method. Appl Math Comput 168 (2005) 398-410
-
(2005)
Appl Math Comput
, vol.168
, pp. 398-410
-
-
Saha Ray, S.1
Bera, R.K.2
-
32
-
-
33748915280
-
Existence of solution for a boundary value problem of fractional order
-
Shuqin Z. Existence of solution for a boundary value problem of fractional order. Acta Mathematica Scientia 26B 2 (2006) 220-228
-
(2006)
Acta Mathematica Scientia
, vol.26 B
, Issue.2
, pp. 220-228
-
-
Shuqin, Z.1
-
33
-
-
55649098198
-
Boundary value problems for a coupled system of nonlinear fractional differential equations
-
Su X. Boundary value problems for a coupled system of nonlinear fractional differential equations. Appl Math Lett 22 (2009) 64-69
-
(2009)
Appl Math Lett
, vol.22
, pp. 64-69
-
-
Su, X.1
-
34
-
-
33644585616
-
Numerical solution of semidifferential equation by collocation method
-
Rawashdeh E.A. Numerical solution of semidifferential equation by collocation method. Appl Math Comput 174 (2006) 869-876
-
(2006)
Appl Math Comput
, vol.174
, pp. 869-876
-
-
Rawashdeh, E.A.1
-
35
-
-
33750820240
-
Adomian decomposition method for solving fractional nonlinear differential equations
-
El-Wakil S., Elhambaly A., and Abdou M.A. Adomian decomposition method for solving fractional nonlinear differential equations. Appl Math Comput 182 (2006) 313-324
-
(2006)
Appl Math Comput
, vol.182
, pp. 313-324
-
-
El-Wakil, S.1
Elhambaly, A.2
Abdou, M.A.3
|