-
2
-
-
0242354999
-
Geometric and physical interpretation of fractional integration and fractional differentiation
-
Podlubny I. Geometric and physical interpretation of fractional integration and fractional differentiation. Fract Calculus Appl Anal 5 (2002) 367-386
-
(2002)
Fract Calculus Appl Anal
, vol.5
, pp. 367-386
-
-
Podlubny, I.1
-
3
-
-
35348901766
-
-
He JH. Nonlinear oscillation with fractional derivative and its applications. In: International Conference on Vibrating Engineering'98, Dalian, China, 1998. p. 288-91.
-
-
-
-
4
-
-
0347763940
-
Some applications of nonlinear fractional differential equations and their approximations
-
He J.H. Some applications of nonlinear fractional differential equations and their approximations. Bull Sci Technol 15 2 (1999) 86-90
-
(1999)
Bull Sci Technol
, vol.15
, Issue.2
, pp. 86-90
-
-
He, J.H.1
-
5
-
-
0032307661
-
Approximate analytical solution for seepage flow with fractional derivatives in porous media
-
He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput Methods Appl Mech Eng 167 (1998) 57-68
-
(1998)
Comput Methods Appl Mech Eng
, vol.167
, pp. 57-68
-
-
He, J.H.1
-
6
-
-
0041384356
-
Chaotic dynamics of the fractional Lorenz system
-
Grigorenko I., and Grigorenko E. Chaotic dynamics of the fractional Lorenz system. Phys Rev Lett 91 3 (2003) 034101-034104
-
(2003)
Phys Rev Lett
, vol.91
, Issue.3
, pp. 034101-034104
-
-
Grigorenko, I.1
Grigorenko, E.2
-
7
-
-
0001983732
-
Fractional calculus: some basic problems in continuum and statistical mechanics
-
Carpinteri A., and Mainardi F. (Eds), Springer-Verlag, New York
-
Mainardi F. Fractional calculus: some basic problems in continuum and statistical mechanics. In: Carpinteri A., and Mainardi F. (Eds). Fractals and fractional calculus in continuum mechanics (1997), Springer-Verlag, New York 291-348
-
(1997)
Fractals and fractional calculus in continuum mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
9
-
-
26444438049
-
Pitfalls in fast numerical solvers for fractional differential equations
-
Diethelm K., Ford J.M., Ford N.J., and Weilbeer W. Pitfalls in fast numerical solvers for 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, W.4
-
10
-
-
35348832127
-
-
Gorenflo R. Afterthoughts on interpretation of fractional derivatives and integrals. In: Rusev P, Di-movski I, Kiryakova V, editors. Transform methods and special functions, Varna 96. Bulgarian Academy of Sciences, Institute of Mathematics ands Informatics, Sofia; 1998. p. 589-91.
-
-
-
-
11
-
-
35348846339
-
-
Luchko A, Groneflo R. The initial value problem for some fractional differential equations with the Caputo derivative. Preprint series A08-98, Fachbreich Mathematik und Informatik. Freic Universitat, Berlin; 1998.
-
-
-
-
14
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent. Part II
-
Caputo M. Linear models of dissipation whose Q is almost frequency independent. Part II. J Roy Astronom Soc 13 (1967) 529-539
-
(1967)
J Roy Astronom Soc
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
15
-
-
0000615571
-
An approximate solution technique not depending on small parameters: a special example
-
Liao S.J. An approximate solution technique not depending on small parameters: a special example. Int J Nonlinear Mech 30 3 (1995) 371-380
-
(1995)
Int J Nonlinear Mech
, vol.30
, Issue.3
, pp. 371-380
-
-
Liao, S.J.1
-
16
-
-
0031223353
-
Boundary element method for general nonlinear differential operators
-
Liao S.J. Boundary element method for general nonlinear differential operators. Eng Anal Bound Elem 20 2 (1997) 91-99
-
(1997)
Eng Anal Bound Elem
, vol.20
, Issue.2
, pp. 91-99
-
-
Liao, S.J.1
-
17
-
-
0032672778
-
Homotopy perturbation technique
-
He J.H. Homotopy perturbation technique. Comput Meth Appl Mech Eng 178 (1999) 257-262
-
(1999)
Comput Meth Appl Mech Eng
, vol.178
, pp. 257-262
-
-
He, J.H.1
-
18
-
-
0033702384
-
A coupling method of homotopy technique and perturbation technique for nonlinear problems
-
He J.H. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int J Nonlinear Mech 35 1 (2000) 37-43
-
(2000)
Int J Nonlinear Mech
, vol.35
, Issue.1
, pp. 37-43
-
-
He, J.H.1
-
19
-
-
17844395724
-
Application of He's homotopy perturbation method to Volterra's integro-differential equation
-
El-Shahed M. Application of He's homotopy perturbation method to Volterra's integro-differential equation. Int J Nonlinear Sci Numer Simulat 6 2 (2005) 163-168
-
(2005)
Int J Nonlinear Sci Numer Simulat
, vol.6
, Issue.2
, pp. 163-168
-
-
El-Shahed, M.1
-
20
-
-
1242287587
-
The homtopy perturbation method for nonlinear oscillators with discontinuities
-
He J.H. The homtopy perturbation method for nonlinear oscillators with discontinuities. Appl Math Comput 151 (2004) 287-292
-
(2004)
Appl Math Comput
, vol.151
, pp. 287-292
-
-
He, J.H.1
-
21
-
-
17844387391
-
Homotopy perturbation method for bifurcation of nonlinear problems
-
He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int J Nonlinear Sci Numer Simul 6 2 (2005) 207-208
-
(2005)
Int J Nonlinear Sci Numer Simul
, vol.6
, Issue.2
, pp. 207-208
-
-
He, J.H.1
-
22
-
-
27744531467
-
Periodic solutions and bifurcations of delay-differential equations
-
He J.H. Periodic solutions and bifurcations of delay-differential equations. Phys Lett A 374 4-6 (2005) 228-230
-
(2005)
Phys Lett A
, vol.374
, Issue.4-6
, pp. 228-230
-
-
He, J.H.1
-
23
-
-
18844426016
-
Application of homotopy perturbation method to nonlinear wave equations
-
He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos, Solitons & Fractals 26 3 (2005) 695-700
-
(2005)
Chaos, Solitons & Fractals
, vol.26
, Issue.3
, pp. 695-700
-
-
He, J.H.1
-
24
-
-
30644460357
-
Homotopy perturbation method for solving boundary value problems
-
He J.H. Homotopy perturbation method for solving boundary value problems. Phys Lett A 350 1-2 (2006) 87-88
-
(2006)
Phys Lett A
, vol.350
, Issue.1-2
, pp. 87-88
-
-
He, J.H.1
-
25
-
-
27144496349
-
A homtopy technique and a perturbation technique for non-linear problems
-
El-Latif G.M. A homtopy technique and a perturbation technique for non-linear problems. Appl Math Comput 169 (2005) 576-588
-
(2005)
Appl Math Comput
, vol.169
, pp. 576-588
-
-
El-Latif, G.M.1
-
26
-
-
0037440579
-
Homtopy perturbation method: a new nonlinear analytic technique
-
He J.H. Homtopy perturbation method: a new nonlinear analytic technique. Appl Math Comput 135 (2003) 73-79
-
(2003)
Appl Math Comput
, vol.135
, pp. 73-79
-
-
He, J.H.1
-
27
-
-
3943092529
-
Comparsion of homtopy perturbation method and homotopy analysis method
-
He J.H. Comparsion of homtopy perturbation method and homotopy analysis method. Appl Math Comput 156 (2004) 527-539
-
(2004)
Appl Math Comput
, vol.156
, pp. 527-539
-
-
He, J.H.1
-
28
-
-
4344696077
-
Asymptotology by homtopy perturbation method
-
He J.H. Asymptotology by homtopy perturbation method. Appl Math Comput 156 (2004) 591-596
-
(2004)
Appl Math Comput
, vol.156
, pp. 591-596
-
-
He, J.H.1
-
29
-
-
18844391045
-
Limit cycle bifuraction of nonlinear problems
-
He J.H. Limit cycle bifuraction of nonlinear problems. Chaos Solitons & Fractals 26 3 (2005) 827-833
-
(2005)
Chaos Solitons & Fractals
, vol.26
, Issue.3
, pp. 827-833
-
-
He, J.H.1
-
30
-
-
32644462966
-
Thin film flow of a third grade fluid on moving a belt by He's homotopy perturbation method
-
Siddiqui A., Mahmood R., and Ghori Q. Thin film flow of a third grade fluid on moving a belt by He's homotopy perturbation method. Int J Nonlinear Sci Numer Simul 7 1 (2006) 7-14
-
(2006)
Int J Nonlinear Sci Numer Simul
, vol.7
, Issue.1
, pp. 7-14
-
-
Siddiqui, A.1
Mahmood, R.2
Ghori, Q.3
-
32
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Modern Phys B 20 10 (2006) 1141-1199
-
(2006)
Int J Modern Phys B
, vol.20
, Issue.10
, pp. 1141-1199
-
-
He, J.H.1
-
33
-
-
31144479330
-
Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
-
Abbasbandy S. Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method. Appl Math Comput 172 (2006) 485-490
-
(2006)
Appl Math Comput
, vol.172
, pp. 485-490
-
-
Abbasbandy, S.1
-
34
-
-
32144434395
-
Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
-
Abbasbandy S. Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method. Appl Math Comput 173 (2006) 493-500
-
(2006)
Appl Math Comput
, vol.173
, pp. 493-500
-
-
Abbasbandy, S.1
-
35
-
-
35348878954
-
-
Momani S, Shawagfeh N. Decomposition method for solving fractional Riccati differential equations. Appl Math Comput, in press.
-
-
-
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