-
1
-
-
0021439912
-
On the appearance of the fractional derivative in the behaviour of real materials
-
Bagley R.L., and Torvik P.J. On the appearance of the fractional derivative in the behaviour of real materials. J. Appl. Mech. 51 (1984) 294-298
-
(1984)
J. Appl. Mech.
, vol.51
, pp. 294-298
-
-
Bagley, R.L.1
Torvik, P.J.2
-
3
-
-
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. Elec. Transact. Numer. Anal. 5 (1997) 1-6
-
(1997)
Elec. Transact. Numer. Anal.
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
4
-
-
0348158242
-
m E methods
-
m E methods. Computing 71 (2003) 305-319
-
(2003)
Computing
, vol.71
, pp. 305-319
-
-
Diethelm, K.1
-
5
-
-
26444438049
-
Pitfalls in fast numerical solution of fractional differential equations
-
Diethelm K., Ford J.M., Ford N.J., and Weilbeer M. Pitfalls in fast numerical solution of fractional differential equations. J. Comput. Appl. Math. 186 (2006) 482-503
-
(2006)
J. Comput. Appl. Math.
, vol.186
, pp. 482-503
-
-
Diethelm, K.1
Ford, J.M.2
Ford, N.J.3
Weilbeer, M.4
-
6
-
-
0012570827
-
Numerical solution methods for distributed order differential equations
-
Diethelm K., and Ford N.J. Numerical solution methods for distributed order differential equations. Fract. Calc. Appl. Anal. 4 (2001) 531-542
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, pp. 531-542
-
-
Diethelm, K.1
Ford, N.J.2
-
7
-
-
0037081673
-
Analysis of fractional differential equations
-
Diethelm K., and Ford N.J. Analysis of fractional differential equations. J. Math. Anal. Appl. 265 (2002) 229-248
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
8
-
-
0012899160
-
Numerical solution of the Bagley-Torvik equation
-
Diethelm K., and Ford N.J. Numerical solution of the Bagley-Torvik equation. BIT 42 (2002) 490-507
-
(2002)
BIT
, vol.42
, pp. 490-507
-
-
Diethelm, K.1
Ford, N.J.2
-
9
-
-
3042709180
-
Multi-order fractional differential equations and their numerical solution
-
Diethelm K., and Ford N.J. Multi-order fractional differential equations and their numerical solution. Appl. Math. Comp. 154 (2004) 621-640
-
(2004)
Appl. Math. Comp.
, vol.154
, pp. 621-640
-
-
Diethelm, K.1
Ford, N.J.2
-
10
-
-
4043121080
-
Detailed error analysis for a fractional Adams method
-
Diethelm K., Ford N.J., and Freed A.D. Detailed error analysis for a fractional Adams method. Numerical Algorithms 36 (2004) 31-52
-
(2004)
Numerical Algorithms
, vol.36
, pp. 31-52
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
13
-
-
33748663764
-
Numerical solution of linear multi-term initial value problems of fractional order
-
Diethelm K., and Luchko Y. Numerical solution of linear multi-term initial value problems of fractional order. J. Comput. Anal. Appl. 6 (2004) 243-263
-
(2004)
J. Comput. Anal. Appl.
, vol.6
, pp. 243-263
-
-
Diethelm, K.1
Luchko, Y.2
-
14
-
-
0037113861
-
The numerical solution of multi-term fractional differential equations: Systems of equations
-
Edwards J.T., Ford N.J., and Simpson A.C. The numerical solution of multi-term fractional differential equations: Systems of equations. J. Comput. Appl. Math. 148 (2002) 401-418
-
(2002)
J. Comput. Appl. Math.
, vol.148
, pp. 401-418
-
-
Edwards, J.T.1
Ford, N.J.2
Simpson, A.C.3
-
15
-
-
33646341532
-
Comparison of numerical methods for fractional differential equations
-
Ford N.J., and Connolly J.A. Comparison of numerical methods for fractional differential equations. Comm. Pure Appl. Anal. 5 (2006) 289-307
-
(2006)
Comm. Pure Appl. Anal.
, vol.5
, pp. 289-307
-
-
Ford, N.J.1
Connolly, J.A.2
-
16
-
-
84966227123
-
Fractional linear multistep methods for Abel-Volterra integral equations of the second kind
-
Lubich C. Fractional linear multistep methods for Abel-Volterra integral equations of the second kind. Math. Comp. 45 (1985) 463-469
-
(1985)
Math. Comp.
, vol.45
, pp. 463-469
-
-
Lubich, C.1
-
17
-
-
34250092484
-
Convolution quadrature and discretized operational calculus. I
-
Lubich C. Convolution quadrature and discretized operational calculus. I. Num. Math. 52 (1988) 129-145
-
(1988)
Num. Math.
, vol.52
, pp. 129-145
-
-
Lubich, C.1
-
18
-
-
34250094006
-
Convolution quadrature and discretized operational calculus. II
-
Lubich C. Convolution quadrature and discretized operational calculus. II. Num. Math. 52 (1988) 413-425
-
(1988)
Num. Math.
, vol.52
, pp. 413-425
-
-
Lubich, C.1
-
19
-
-
0041938913
-
A stability analysis of convolution quadratures for Abel-Volterra integral equations
-
Lubich C. A stability analysis of convolution quadratures for Abel-Volterra integral equations. IMA J. Numer. Anal. 6 (1986) 87-101
-
(1986)
IMA J. Numer. Anal.
, vol.6
, pp. 87-101
-
-
Lubich, C.1
-
20
-
-
8144220216
-
Convolution quadrature revisited
-
Lubich C. Convolution quadrature revisited. BIT 44 (2004) 503-514
-
(2004)
BIT
, vol.44
, pp. 503-514
-
-
Lubich, C.1
-
21
-
-
0012659515
-
An operational method for solving fractional differential equations with the Caputo derivative
-
Luchko Y., and Gorenfl R. An operational method for solving fractional differential equations with the Caputo derivative. Acta Math. Vietnam. 24 (1999) 207-233
-
(1999)
Acta Math. Vietnam.
, vol.24
, pp. 207-233
-
-
Luchko, Y.1
Gorenfl, R.2
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