-
1
-
-
23844444756
-
Operador q-integral fraccional Kober de la análoga básica de la función H
-
Saxena, R, Yadav, R, Purohit, S: Kober fractional q-integral operator of the basic analogue of the H-function. Rev. Téc. Fac. Ing., Univ. Zulia 28, 154-158 (2005) (Pubitemid 41165228)
-
(2005)
Revista Tecnica de la Facultad de Ingenieria Universidad del Zulia
, vol.28
, Issue.2
, pp. 154-158
-
-
Saxena, R.K.1
Yadav, R.K.2
Purohit, S.D.3
Kalla, S.L.4
-
2
-
-
70350404728
-
Fractional integrals and derivatives in q-calculus
-
Rajković, PM, Marinković, SD, Stanković, MS: Fractional integrals and derivatives in q-calculus. Appl. Anal. Discrete Math. 1, 311-323 (2007)
-
(2007)
Appl. Anal. Discrete Math.
, vol.1
, pp. 311-323
-
-
Rajković, P.M.1
Marinković, S.D.2
Stanković, M.S.3
-
3
-
-
77649311766
-
Linear sequential q-difference equations of fractional order
-
Mansour, Z: Linear sequential q-difference equations of fractional order. Fract. Calc. Appl. Anal. 12, 159-178 (2009)
-
(2009)
Fract. Calc. Appl. Anal.
, vol.12
, pp. 159-178
-
-
Mansour, Z.1
-
4
-
-
77952557731
-
Modeling with fractional difference equations
-
Atici, FM, Senguel, S: Modeling with fractional difference equations. J. Math. Anal. Appl. 369, 1-9 (2010)
-
(2010)
J. Math. Anal. Appl.
, vol.369
, pp. 1-9
-
-
Atici, F.M.1
Senguel, S.2
-
5
-
-
77956177561
-
Common aspects of q-deformed lie algebras and fractional calculus
-
Herrmann, R: Common aspects of q-deformed Lie algebras and fractional calculus. Physica A 389, 4613-4622 (2010)
-
(2010)
Physica A
, vol.389
, pp. 4613-4622
-
-
Herrmann, R.1
-
6
-
-
84867021459
-
On generalized fractional q-integral operators involving the q-gauss hypergeometric function
-
Purohit, SD, Yadav, RK: On generalized fractional q-integral operators involving the q-Gauss hypergeometric function. Bull. Math. Anal. Appl. 2, 35-44 (2010)
-
(2010)
Bull. Math. Anal. Appl.
, vol.2
, pp. 35-44
-
-
Purohit, S.D.1
Yadav, R.K.2
-
7
-
-
79958719410
-
Linear systems of fractional nabla difference equations
-
Atici, FM, Eloe, PW: Linear systems of fractional nabla difference equations. Rocky Mt. J. Math. 41, 353-370 (2011)
-
(2011)
Rocky Mt. J. Math.
, vol.41
, pp. 353-370
-
-
Atici, F.M.1
Eloe, P.W.2
-
8
-
-
84974177889
-
Some fractional q-integrals and q-derivatives
-
Al-Salam, WA: Some fractional q-integrals and q-derivatives. Proc. Edinb. Math. Soc. 15, 135-140 (1966)
-
(1966)
Proc. Edinb. Math. Soc.
, vol.15
, pp. 135-140
-
-
Al-Salam, W.A.1
-
9
-
-
84971113538
-
Certain fractional q-integrals and q-derivatives
-
Agarwal, R: Certain fractional q-integrals and q-derivatives. Proc. Camb. Philos. Soc. 66, 365-370 (1969)
-
(1969)
Proc. Camb. Philos. Soc.
, vol.66
, pp. 365-370
-
-
Agarwal, R.1
-
10
-
-
0008528081
-
A fractional leibniz q-formula
-
Al-Salam, W, Verma, A: A fractional Leibniz q-formula. Pac. J. Math. 60, 1-9 (1975)
-
(1975)
Pac. J. Math.
, vol.60
, pp. 1-9
-
-
Al-Salam, W.1
Verma, A.2
-
11
-
-
79951617996
-
Observability of linear q-difference fractional-order systems with finite initial memory
-
Mozyrska, D, Pawluszewicz, E: Observability of linear q-difference fractional-order systems with finite initial memory. Bull. Pol. Acad. Sci. 58, 601-605 (2010)
-
(2010)
Bull. Pol. Acad. Sci.
, vol.58
, pp. 601-605
-
-
Mozyrska, D.1
Pawluszewicz, E.2
-
12
-
-
79960269969
-
Caputo q-fractional initial value problems and a q-analogue mittag-leffler function
-
Abdeljawad, T, Baleanu, D: Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function. Commun. Nonlinear Sci. Numer. Simul. 16, 4682-4688 (2011)
-
(2011)
Commun. Nonlinear Sci. Numer. Simul.
, vol.16
, pp. 4682-4688
-
-
Abdeljawad, T.1
Baleanu, D.2
-
13
-
-
78651236363
-
Positive solutions for a class of boundary value problems with fractional q-differences
-
Ferreira, RAC: Positive solutions for a class of boundary value problems with fractional q-differences. Comput. Math. Appl. 61, 367-373 (2011)
-
(2011)
Comput. Math. Appl.
, vol.61
, pp. 367-373
-
-
Ferreira, R.A.C.1
-
14
-
-
84871300641
-
On nonlocal boundary value problems of nonlinear q-difference equations
-
Ahmad, B, Nieto, JJ: On nonlocal boundary value problems of nonlinear q-difference equations. Adv. Differ. Equ. 2012, 81 (2012)
-
(2012)
Adv. Differ. Equ.
, vol.2012
, pp. 81
-
-
Ahmad, B.1
Nieto, J.J.2
-
15
-
-
84873356580
-
Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations
-
Ahmad, B, Ntouyas, SK, Purnaras, IK: Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations. Adv. Differ. Equ. 2012, 140 (2012)
-
(2012)
Adv. Differ. Equ.
, vol.2012
, pp. 140
-
-
Ahmad, B.1
Ntouyas, S.K.2
Purnaras, I.K.3
-
16
-
-
84860430866
-
Positive solutions for a class of higher order boundary value problems with fractional q-derivatives
-
Graef, JR, Kong, L: Positive solutions for a class of higher order boundary value problems with fractional q-derivatives. Appl. Math. Comput. 218, 9682-9689 (2012)
-
(2012)
Appl. Math. Comput.
, vol.218
, pp. 9682-9689
-
-
Graef, J.R.1
Kong, L.2
-
17
-
-
0032307661
-
Approximate analytical solution for seepage flow with fractional derivatives in porous media
-
He, JH: Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng. 167, 57-68 (1998)
-
(1998)
Comput. Methods Appl. Mech. Eng.
, vol.167
, pp. 57-68
-
-
He, J.H.1
-
18
-
-
0000092673
-
Variational iteration method -A kind of non-Linear analytical technique: Some examples
-
He, JH: Variational iteration method - a kind of non-linear analytical technique: some examples. Int. J. Non-Linear Mech. 34, 699-708 (1999)
-
(1999)
Int. J. Non-Linear Mech.
, vol.34
, pp. 699-708
-
-
He, J.H.1
-
19
-
-
34250668369
-
Variational iteration method -some recent results and new interpretations
-
He, JH: Variational iteration method - some recent results and new interpretations. J. Comput. Appl. Math. 207, 3-17 (2007)
-
(2007)
J. Comput. Appl. Math.
, vol.207
, pp. 3-17
-
-
He, J.H.1
-
20
-
-
34748870677
-
Variational iteration method: New development and applications
-
He, JH, Wu, XH: Variational iteration method: new development and applications. Comput. Math. Appl. 54, 881-894 (2007)
-
(2007)
Comput. Math. Appl.
, vol.54
, pp. 881-894
-
-
He, J.H.1
Wu, X.H.2
-
21
-
-
4444374711
-
Solving riccati differential equation using adomian's decomposition method
-
El-Tawil, MA, Bahnasawi, AA, Abdel-Naby, A: Solving Riccati differential equation using Adomian's decomposition method. Appl. Math. Comput. 157, 503-514 (2004)
-
(2004)
Appl. Math. Comput.
, vol.157
, pp. 503-514
-
-
El-Tawil, M.A.1
Bahnasawi, A.A.2
Abdel-Naby, A.3
-
22
-
-
0015484437
-
Comparing numerical methods for ordinary differential equations
-
Hull, T, Enright, W, Fellen, B, Sedgwick, A: Comparing numerical methods for ordinary differential equations. SIAM J. Numer. Anal. 9, 603-637 (1972)
-
(1972)
SIAM J. Numer. Anal.
, vol.9
, pp. 603-637
-
-
Hull, T.1
Enright, W.2
Fellen, B.3
Sedgwick, A.4
-
26
-
-
0007190172
-
Q-form of taylor's theorem
-
Jackson, FH: q-form of Taylor's theorem. Messenger Math. 38, 62-64 (1909)
-
(1909)
Messenger Math.
, vol.38
, pp. 62-64
-
-
Jackson, F.H.1
-
27
-
-
0001483988
-
On Q-Definite integrals
-
Jackson, FH: On q-definite integrals. Q. J. Pure Appl. Math. 41, 193-203 (1910)
-
(1910)
Q. J. Pure Appl. Math.
, vol.41
, pp. 193-203
-
-
Jackson, F.H.1
-
28
-
-
84893948904
-
Variational iteration method for q-diffusion equations on time scales
-
in press
-
Wu, GC: Variational iteration method for q-diffusion equations on time scales. Heat Transf. Res. (2012, in press)
-
Heat Transf. Res.
, vol.2012
-
-
Wu, G.C.1
-
29
-
-
84864939742
-
Variational iteration method for q-difference equations of second order
-
Wu, GC: Variational iteration method for q-difference equations of second order. J. Appl. Math. 2012, 102850 (2012)
-
(2012)
J. Appl. Math.
, vol.2012
, pp. 102850
-
-
Wu, G.C.1
-
30
-
-
84870901403
-
Lagrange multipliers of q-difference equations of third order
-
Kong, H, Huang, LL: Lagrange multipliers of q-difference equations of third order. Commun. Fract. Calc. 3, 30-33 (2012)
-
(2012)
Commun. Fract. Calc.
, vol.3
, pp. 30-33
-
-
Kong, H.1
Huang, L.L.2
-
31
-
-
0003797958
-
-
Podlubny I, Academic Press, San Diego
-
Podlubny, I: Fractional Differential Equations. Academic Press, San Diego (1999)
-
(1999)
Fractional Differential Equations.
-
-
-
32
-
-
33847309315
-
-
Elsevier, Amsterdam
-
Kilbas, AA, Srivastav, HM, Trujillo, JJ: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)
-
(2006)
Theory and Applications of Fractional Differential Equations.
-
-
Kilbas, A.A.1
Srivastav, H.M.2
Trujillo, J.J.3
-
33
-
-
79251595176
-
Application of numerical inverse laplace transform algorithms in fractional calculus
-
Sheng, H, Li, Y, Chen, YQ: Application of numerical inverse Laplace transform algorithms in fractional calculus. J. Franklin Inst. 348, 315-330 (2011)
-
(2011)
J. Franklin Inst.
, vol.348
, pp. 315-330
-
-
Sheng, H.1
Li, Y.2
Chen, Y.Q.3
-
34
-
-
84870873877
-
Variational iteration method for the fractional diffusion equations in porous media
-
Wu, GC: Variational iteration method for the fractional diffusion equations in porous media. Chin. Phys. B 21, 120504 (2012)
-
(2012)
Chin. Phys.
, vol.B 21
, pp. 120504
-
-
Wu, G.C.1
-
35
-
-
84875378030
-
Variational iteration method for the burgers' flow with fractional derivatives -new lagrange multipliers
-
in press, doi:10.1016/j.apm.2012.12.018
-
Wu, GC, Baleanu, D: Variational iteration method for the Burgers' flow with fractional derivatives - new Lagrange multipliers. Appl. Math. Model. (2012, in press). doi:10.1016/j.apm.2012.12.018
-
Appl. Math. Model.
, vol.2012
-
-
Wu, G.C.1
Baleanu, D.2
-
36
-
-
76549123950
-
Solving of the nonlinear and linear schrödinger equations by the homotopy perturbation method
-
Baleanu, D, Golmankhaneh, AK, Golmankhaneh, AK: Solving of the nonlinear and linear Schrödinger equations by the homotopy perturbation method. Rom. J. Phys. 54, 823-832 (2010)
-
(2010)
Rom. J. Phys.
, vol.54
, pp. 823-832
-
-
Baleanu, D.1
Golmankhaneh, A.K.2
Golmankhaneh, A.K.3
-
39
-
-
0000243146
-
Beiträge zur theorie der heineschen reihen
-
Die 24 Integrale der hypergeometrischen q-Differenzengleichung. Das q-Analogon der Laplace-Transformation
-
Hahn, W: Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q-Differenzengleichung. Das q-Analogon der Laplace-Transformation. Math. Nachr. 2, 340-379 (1949)
-
(1949)
Math. Nachr.
, vol.2
, pp. 340-379
-
-
Hahn, W.1
-
41
-
-
78751639434
-
The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method
-
Allahviranloo, T, Abbasbandy, S, Rouhparvar, H: The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method. Appl. Soft Comput. 11, 2186-2192 (2011)
-
(2011)
Appl. Soft Comput.
, vol.11
, pp. 2186-2192
-
-
Allahviranloo, T.1
Abbasbandy, S.2
Rouhparvar, H.3
-
42
-
-
82555187128
-
The variational iteration method for solving n-th order fuzzy differential equation
-
Jafari, H, Saeidy, M, Baleanu, D: The variational iteration method for solving n-th order fuzzy differential equation. Cent. Eur. J. Phys. 10, 76-85 (2012)
-
(2012)
Cent. Eur. J. Phys.
, vol.10
, pp. 76-85
-
-
Jafari, H.1
Saeidy, M.2
Baleanu, D.3
-
43
-
-
84870941648
-
Homotopy perturbation and variational iteration methods for solving fuzzy differential equations
-
Jafari, H, Khalique, CM: Homotopy perturbation and variational iteration methods for solving fuzzy differential equations. Commun. Fract. Calc. 3, 38-48 (2012)
-
(2012)
Commun. Fract. Calc.
, vol.3
, pp. 38-48
-
-
Jafari, H.1
Khalique, C.M.2
-
46
-
-
80052684335
-
Variational optimal-control problems with delayed arguments on time scales
-
Abdeljawad, T, Jarad, F, Baleanu, D: Variational optimal-control problems with delayed arguments on time scales. Adv. Differ. Equ. 2009, 840386 (2009)
-
(2009)
Adv. Differ. Equ.
, vol.2009
, pp. 840386
-
-
Abdeljawad, T.1
Jarad, F.2
Baleanu, D.3
-
49
-
-
84893914889
-
-
Science Press, Beijing
-
Chen, W, Sun, HG, Li, XC: Mechanics Engineering Problems of Fractional Derivative Modeling. Science Press, Beijing (2010)
-
(2010)
Mechanics Engineering Problems of Fractional Derivative Modeling.
-
-
Chen, W.1
Sun, H.G.2
Li, X.C.3
-
50
-
-
65049084831
-
-
World Scientific, Singapore
-
Baleanu, D, Diethelm, K, Scalas, E, Trujillo, JJ: Fractional Calculus Models and Numerical Methods. World Scientific, Singapore (2012)
-
Fractional Calculus Models and Numerical Methods.
, vol.2012
-
-
Baleanu, D.1
Diethelm, K.2
Scalas, E.3
Trujillo, J.J.4
-
51
-
-
84874054174
-
A review of the adomian decomposition method and its applications to fractional differential equations
-
Duan, JS, Buleanu, D, Wazwaz, AM: A review of the Adomian decomposition method and its applications to fractional differential equations. Commun. Fract. Calc. 3, 73-99 (2012)
-
(2012)
Commun. Fract. Calc.
, vol.3
, pp. 73-99
-
-
Duan, J.S.1
Buleanu, D.2
Wazwaz, A.M.3
|