-
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. Calc. Appl. Anal. 5 (2002) 367-386
-
(2002)
Fract. Calc. Appl. Anal.
, vol.5
, pp. 367-386
-
-
Podlubny, I.1
-
3
-
-
34748854607
-
-
J.H. He, Nonlinear oscillation with fractional derivative and its applications. In: International Conference on Vibrating Engineering'98, Dalian, China, 1998, pp. 288-291
-
-
-
-
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
-
-
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
-
6
-
-
26444565441
-
Afterthoughts on interpretation of fractional derivatives and integrals
-
Rusev P., Di-movski I., and Kiryakova V. (Eds), Bulgarian Academy of Sciences, Institute of Mathematics ands Informatics, Sofia
-
Gorenflo R. Afterthoughts on interpretation of fractional derivatives and integrals. In: Rusev P., Di-movski I., and Kiryakova V. (Eds). Transform Methods and Special Functions, Varna 96 (1998), Bulgarian Academy of Sciences, Institute of Mathematics ands Informatics, Sofia 589-591
-
(1998)
Transform Methods and Special Functions, Varna 96
, pp. 589-591
-
-
Gorenflo, R.1
-
7
-
-
34748900349
-
-
A. Luchko, R. Groneflo, The initial value problem for some fractional differential equations with the Caputo derivative, Preprint series A 08 - 98, Fachbreich Mathematik und Informatik, Freic Universitat Berlin, 1998
-
-
-
-
10
-
-
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. Astral. Soc. 13 (1967) 529-539
-
(1967)
J. Roy. Astral. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
11
-
-
33646887440
-
Solutions to few linear fractional inhomogeneous partial differential equations in fluid mechanics
-
Debnath L., and Bhatta D. Solutions to few linear fractional inhomogeneous partial differential equations in fluid mechanics. Frac. Calc. Appl. Anal. 7 (2004) 153-192
-
(2004)
Frac. Calc. Appl. Anal.
, vol.7
, pp. 153-192
-
-
Debnath, L.1
Bhatta, D.2
-
12
-
-
0002588102
-
Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
-
Rèpaci A. Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method. Appl. Math. Lett. 3 3 (1990) 35-39
-
(1990)
Appl. Math. Lett.
, vol.3
, Issue.3
, pp. 35-39
-
-
Rèpaci, A.1
-
13
-
-
27744514614
-
Non-perturbative analytical solutions of the space- and time-fractional Burgers equations
-
Momani S. Non-perturbative analytical solutions of the space- and time-fractional Burgers equations. Chaos Solitons Fractals 28 4 (2006) 930-937
-
(2006)
Chaos Solitons Fractals
, vol.28
, Issue.4
, pp. 930-937
-
-
Momani, S.1
-
14
-
-
33744981446
-
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
-
Momani S., and Odibat Z. Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Appl. Math. Comput. 177 (2006) 488-494
-
(2006)
Appl. Math. Comput.
, vol.177
, pp. 488-494
-
-
Momani, S.1
Odibat, Z.2
-
15
-
-
33749512364
-
Approximate solutions for boundary value problems of time-fractional wave equation
-
Odibat Z., and Momani S. Approximate solutions for boundary value problems of time-fractional wave equation. Appl. Math. Comput. 181 (2006) 767-774
-
(2006)
Appl. Math. Comput.
, vol.181
, pp. 767-774
-
-
Odibat, Z.1
Momani, S.2
-
16
-
-
24144494623
-
An explicit and numerical solutions of the fractional KdV equation
-
Momani S. An explicit and numerical solutions of the fractional KdV equation. Math. Comput. Simul. 70 2 (2005) 110-118
-
(2005)
Math. Comput. Simul.
, vol.70
, Issue.2
, pp. 110-118
-
-
Momani, S.1
-
17
-
-
0041185368
-
A review of the decomposition method in applied mathematics
-
Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135 (1988) 501-544
-
(1988)
J. Math. Anal. Appl.
, vol.135
, pp. 501-544
-
-
Adomian, G.1
-
19
-
-
0347450513
-
A new algorithm for calculating Adomian polynomials fo nonlinear operators
-
Wazwaz A. A new algorithm for calculating Adomian polynomials fo nonlinear operators. Appl. Math. Comput. 111 (2000) 53-69
-
(2000)
Appl. Math. Comput.
, vol.111
, pp. 53-69
-
-
Wazwaz, A.1
-
20
-
-
0035882676
-
A new modificatrion of the Adomian decomposition method for linear and nonlinear operators
-
Wazwaz A., and El-Sayed S. A new modificatrion of the Adomian decomposition method for linear and nonlinear operators. Appl. Math. Comput. 122 (2001) 393-405
-
(2001)
Appl. Math. Comput.
, vol.122
, pp. 393-405
-
-
Wazwaz, A.1
El-Sayed, S.2
-
21
-
-
33646878106
-
Analytical approach to linear fractional partail differential equations arising in fluild mechanics
-
Momani S., and Odibat Z. Analytical approach to linear fractional partail differential equations arising in fluild mechanics. Phys. Lett. A 355 (2006) 271-279
-
(2006)
Phys. Lett. A
, vol.355
, pp. 271-279
-
-
Momani, S.1
Odibat, Z.2
-
22
-
-
30344464250
-
Application of variational iteration method to nonlinear differential equations of fractional order
-
Odibat Z., and Momani S. Application of variational iteration method to nonlinear differential equations of fractional order. Int. J. Nonlinear Sci. Numer. Simul. 7 1 (2006) 15-27
-
(2006)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.7
, Issue.1
, pp. 15-27
-
-
Odibat, Z.1
Momani, S.2
-
23
-
-
33748425302
-
Numerical comparison of methods for solving linear differential equations of fractional order
-
Momani S., and Odibat Z. Numerical comparison of methods for solving linear differential equations of fractional order. Chaos Solitons Fractals 31 (2007) 1248-1255
-
(2007)
Chaos Solitons Fractals
, vol.31
, pp. 1248-1255
-
-
Momani, S.1
Odibat, Z.2
-
24
-
-
24944474278
-
Application of He's variational iteration method to Helmholtz equation
-
Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos Solitons Fractals 27 5 (2006) 1119-1123
-
(2006)
Chaos Solitons Fractals
, vol.27
, Issue.5
, pp. 1119-1123
-
-
Momani, S.1
Abuasad, S.2
-
25
-
-
0031441505
-
Semi-inverse method of establishing generalized principlies for fluid mechanics with emphasis on turbomachinery aerodynamics
-
He J.H. Semi-inverse method of establishing generalized principlies for fluid mechanics with emphasis on turbomachinery aerodynamics. Int. J. Turbo Jet-Engines 14 1 (1997) 23-28
-
(1997)
Int. J. Turbo Jet-Engines
, vol.14
, Issue.1
, pp. 23-28
-
-
He, J.H.1
-
26
-
-
0032308350
-
Approximate solution of non linear differential equations with convolution product nonlinearities
-
He J.H. Approximate solution of non linear differential equations with convolution product nonlinearities. Comput. Methods Appl. Mech. Engrg. 167 (1998) 69-73
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.167
, pp. 69-73
-
-
He, J.H.1
-
27
-
-
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. Engrg. 167 (1998) 57-68
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.167
, pp. 57-68
-
-
He, J.H.1
-
28
-
-
0000092673
-
Variational iteration method - a kind of non-linear analytical technique: some examples
-
He J.H. Variational iteration method - a kind of non-linear analytical technique: some examples. Int. J. Nonlinear Mech. 34 (1999) 699-708
-
(1999)
Int. J. Nonlinear Mech.
, vol.34
, pp. 699-708
-
-
He, J.H.1
-
29
-
-
0040184009
-
Variational iteration method for autonomous ordinary differential systems
-
He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 (2000) 115-123
-
(2000)
Appl. Math. Comput.
, vol.114
, pp. 115-123
-
-
He, J.H.1
-
30
-
-
0035617688
-
Variational theory for linear magneto-electro-elasticity
-
He J.H. Variational theory for linear magneto-electro-elasticity. Int. J. Nonlinear Sci. Numer. Simul. 2 4 (2001) 309-316
-
(2001)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.2
, Issue.4
, pp. 309-316
-
-
He, J.H.1
-
31
-
-
0038772257
-
Variational principle for Nano thin film lubrication
-
He J.H. Variational principle for Nano thin film lubrication. Int. J. Nonlinear Sci. Numer. Simul. 4 3 (2003) 313-314
-
(2003)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.4
, Issue.3
, pp. 313-314
-
-
He, J.H.1
-
32
-
-
0041621600
-
Variational principle for some nonlinear partial differential equations with variable coefficients
-
He J.H. Variational principle for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fractals 19 4 (2004) 847-851
-
(2004)
Chaos Solitons Fractals
, vol.19
, Issue.4
, pp. 847-851
-
-
He, J.H.1
-
34
-
-
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. Non-Linear Mech. 35 1 (2000) 37-43
-
(2000)
Int. J. Non-Linear Mech.
, vol.35
, Issue.1
, pp. 37-43
-
-
He, J.H.1
-
35
-
-
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. Simul. 6 2 (2005) 163-168
-
(2005)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.6
, Issue.2
, pp. 163-168
-
-
El-Shahed, M.1
-
36
-
-
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
-
37
-
-
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
-
38
-
-
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
-
39
-
-
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
-
40
-
-
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
-
41
-
-
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
-
42
-
-
3943092529
-
Comparsion of homotopy perturbation method and homotopy analysis method
-
He J.H. Comparsion of homotopy 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
-
43
-
-
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
-
44
-
-
18844391045
-
Limit cycle and bifuraction of nonlinear problems
-
He J.H. Limit cycle and 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
-
45
-
-
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
-
47
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
He J.H. Some asymptotic methods for strongly nonlinear equations. Internat J. Modern Phys. B 20 10 (2006) 1141-1199
-
(2006)
Internat J. Modern Phys. B
, vol.20
, Issue.10
, pp. 1141-1199
-
-
He, J.H.1
-
48
-
-
33746584753
-
New interpretation of homotopy perturbation method
-
He J.H. New interpretation of homotopy perturbation method. Internat J. Modern Phys. B 20 18 (2006) 2561-2568
-
(2006)
Internat J. Modern Phys. B
, vol.20
, Issue.18
, pp. 2561-2568
-
-
He, J.H.1
-
49
-
-
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
-
50
-
-
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
-
51
-
-
35348869861
-
Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order
-
10.1016/j.chaos.2006.06.041
-
Odibat Z., and Momani S. Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order. Chaos Solitons Fractals (2006) 10.1016/j.chaos.2006.06.041
-
(2006)
Chaos Solitons Fractals
-
-
Odibat, Z.1
Momani, S.2
|