-
1
-
-
0011805878
-
Q-difference equations
-
Jackson, FH: q-difference equations. Am. J. Math. 32, 305-314 (1910)
-
(1910)
Am. J. Math.
, vol.32
, pp. 305-314
-
-
Jackson, F.H.1
-
2
-
-
0000864250
-
The general theory of linear q-difference equations
-
Carmichael, RD: The general theory of linear q-difference equations. Am. J. Math. 34, 147-168 (1912)
-
(1912)
Am. J. Math.
, vol.34
, pp. 147-168
-
-
Carmichael, R.D.1
-
3
-
-
21844482300
-
Transformation theory of the q-oscillator
-
Finkelstein, R, Marcus, E: Transformation theory of the q-oscillator. J. Math. Phys. 36, 2652-2672 (1995)
-
(1995)
J. Math. Phys.
, vol.36
, pp. 2652-2672
-
-
Finkelstein, R.1
Marcus, E.2
-
4
-
-
21844487732
-
The spectral problem for the q-knizhnik-zamolodchikov equation and continuous q-jacobi polynomials
-
Freund, PGO, Zabrodin, AV: The spectral problem for the q-Knizhnik-Zamolodchikov equation and continuous q-Jacobi polynomials. Commun. Math. Phys. 173, 17-42 (1995)
-
(1995)
Commun. Math. Phys.
, vol.173
, pp. 17-42
-
-
Freund, P.G.O.1
Zabrodin, A.V.2
-
5
-
-
0142160815
-
On a q-sequence that generalizes the median genocchi numbers
-
Han, G, Zeng, J: On a q-sequence that generalizes the median Genocchi numbers. Ann. Sci. Math. Qué. 23, 63-72 (1999)
-
(1999)
Ann. Sci. Math. Qué.
, vol.23
, pp. 63-72
-
-
Han, G.1
Zeng, J.2
-
6
-
-
21844503594
-
Quantum symmetries of q-difference equations
-
Floreanini, R, Vinet, L: Quantum symmetries of q-difference equations. J. Math. Phys. 36, 3134-3156 (1995)
-
(1995)
J. Math. Phys.
, vol.36
, pp. 3134-3156
-
-
Floreanini, R.1
Vinet, L.2
-
8
-
-
33646199681
-
Second order q-difference equations solvable by factorization method. J
-
Dobrogowska, A, Odzijewicz, A: Second order q-difference equations solvable by factorization method. J. Comput. Appl. Math. 193, 319-346 (2006)
-
(2006)
Comput. Appl. Math.
, vol.193
, pp. 319-346
-
-
Dobrogowska, A.1
Odzijewicz, A.2
-
9
-
-
69649098522
-
Q-difference operators for orthogonal polynomials. J
-
Ismail, MEH, Simeonov, P: q-difference operators for orthogonal polynomials. J. Comput. Appl. Math. 233, 749-761 (2009)
-
(2009)
Comput. Appl. Math.
, vol.233
, pp. 749-761
-
-
Ismail, M.E.H.1
Simeonov, P.2
-
10
-
-
84873356580
-
Purnaras, i: Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations
-
Ahmad, B, Ntouyas, SK, Purnaras, I: 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
-
11
-
-
77951154272
-
Positive solutions of q-difference equation
-
El-Shahed, M, Hassan, HA: Positive solutions of q-difference equation. Proc. Am. Math. Soc. 138, 1733-1738 (2010)
-
(2010)
Proc. Am. Math. Soc.
, vol.138
, pp. 1733-1738
-
-
El-Shahed, M.1
Hassan, H.A.2
-
12
-
-
42649085010
-
Q-taylor and interpolation series for jackson q-difference operators
-
Annaby, MH, Mansour, ZS: q-Taylor and interpolation series for Jackson q-difference operators. J. Math. Anal. Appl. 344, 472-483 (2008)
-
(2008)
J. Math. Anal. Appl.
, vol.344
, pp. 472-483
-
-
Annaby, M.H.1
Mansour, Z.S.2
-
13
-
-
79959203803
-
Boundary value problems for q-difference inclusions
-
Article ID 292860 (2011
-
Ahmad, B, Ntouyas, SK: Boundary value problems for q-difference inclusions. Abstr. Appl. Anal. 2011, Article ID 292860 (2011)
-
(2011)
Abstr. Appl. Anal.
-
-
Ahmad, B.1
Ntouyas, S.K.2
-
14
-
-
33845732591
-
Some systems of multivariable orthogonal q-racah polynomials
-
Gasper, G, Rahman, M: Some systems of multivariable orthogonal q-Racah polynomials. Ramanujan J. 13, 389-405 (2007)
-
(2007)
Ramanujan J.
, vol.13
, pp. 389-405
-
-
Gasper, G.1
Rahman, M.2
-
15
-
-
1242329948
-
Integral inequalities in q-calculus
-
Gauchman, H: Integral inequalities in q-calculus. Comput. Math. Appl. 47, 281-300 (2004)
-
(2004)
Comput. Math. Appl.
, vol.47
, pp. 281-300
-
-
Gauchman, H.1
-
16
-
-
85086615474
-
Nontrivial solutions for fractional q-difference boundary value problems
-
Ferreira, RAC: Nontrivial solutions for fractional q-difference boundary value problems. Electron. J. Qual. Theory Differ. Equ. 2010, 70 (2010)
-
(2010)
Electron. J. Qual. Theory Differ. Equ.
, vol.2010
, pp. 70
-
-
Ferreira, R.A.C.1
-
17
-
-
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
-
18
-
-
84860466937
-
Positive solutions for boundary value problem of nonlinear fractional q-difference equation
-
Article ID 385459 (2011
-
El-Shahed, M, Al-Askar, F: Positive solutions for boundary value problem of nonlinear fractional q-difference equation. ISRN Math. Anal. 2011, Article ID 385459 (2011)
-
(2011)
ISRN Math. Anal.
-
-
El-Shahed, M.1
Al-Askar, F.2
-
19
-
-
84865786414
-
Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-differences
-
Liang, S, Zhang, J: Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-differences. J. Appl. Math. Comput. 40, 277-288 (2012)
-
(2012)
J. Appl. Math. Comput.
, vol.40
, pp. 277-288
-
-
Liang, S.1
Zhang, J.2
-
20
-
-
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
-
23
-
-
33847309315
-
-
Elsevier, Amsterdam
-
Kibas, AA, Srivastava, HM, Trujillo, JJ: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)
-
(2006)
Theory and Applications of Fractional Differential Equations
-
-
Kibas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
24
-
-
74149083504
-
Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
-
Li, C, Luo, X, Zhou, Y: Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations. Comput. Math. Appl. 59, 1363-1375 (2010)
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1363-1375
-
-
Li, C.1
Luo, X.2
Zhou, Y.3
-
25
-
-
79960981115
-
Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions
-
Wang, G, Ahmad, B, Zhang, L: Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions. Comput. Math. Appl. 62, 1389-1397 (2011)
-
(2011)
Comput. Math. Appl.
, vol.62
, pp. 1389-1397
-
-
Wang, G.1
Ahmad, B.2
Zhang, L.3
-
26
-
-
77955713929
-
On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
-
Ahmad, B, Sivasundaram, S: On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Appl. Math. Comput. 217, 480-487 (2010)
-
(2010)
Appl. Math. Comput.
, vol.217
, pp. 480-487
-
-
Ahmad, B.1
Sivasundaram, S.2
-
27
-
-
79961013958
-
The existence of positive solutions of singular fractional boundary value problems
-
Stan?ek, S: The existence of positive solutions of singular fractional boundary value problems. Comput. Math. Appl. 62, 1379-1388 (2011)
-
(2011)
Comput. Math. Appl.
, vol.62
, pp. 1379-1388
-
-
Stanek, S.1
-
28
-
-
84871418820
-
Existence of solutions for fractional integro-differential equation with multipoint boundary value problem in banach spaces
-
Article ID 172963 (2012
-
Zhao, Y, Huang, L, Wang, X, Zhu, X: Existence of solutions for fractional integro-differential equation with multipoint boundary value problem in Banach spaces. Abstr. Appl. Anal. 2012, Article ID 172963 (2012)
-
(2012)
Abstr. Appl. Anal.
-
-
Zhao, Y.1
Huang, L.2
Wang, X.3
Zhu, X.4
-
29
-
-
84868207724
-
Existence of positive solutions for nonlinear fractional functional differential equation
-
Zhao, Y, Chen, H, Huang, L: Existence of positive solutions for nonlinear fractional functional differential equation. Comput. Math. Appl. 64, 3456-3467 (2012)
-
(2012)
Comput. Math. Appl.
, vol.64
, pp. 3456-3467
-
-
Zhao, Y.1
Chen, H.2
Huang, L.3
-
30
-
-
25144460994
-
Positive solutions for boundary value problem of nonlinear fractional differential equation
-
DOI 10.1016/j.jmaa.2005.02.052, PII S0022247X05001733
-
Bai, Z, Lü, H: Positive solutions for boundary value problem of nonlinear fractional differential equation. J. Math. Anal. Appl. 311, 495-505 (2005) (Pubitemid 41350217)
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.311
, Issue.2
, pp. 495-505
-
-
Bai, Z.1
Lu, H.2
-
31
-
-
80051790398
-
On discrete sequential fractional boundary value problems
-
Goodrich, CS: On discrete sequential fractional boundary value problems. J. Math. Anal. Appl. 385, 111-124 (2012)
-
(2012)
J. Math. Anal. Appl.
, vol.385
, pp. 111-124
-
-
Goodrich, C.S.1
-
32
-
-
74149089358
-
Positive solutions to singular boundary value problem for nonlinear fractional differential equation
-
Zhang, S: Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Comput. Math. Appl. 59, 1300-1309 (2010)
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1300-1309
-
-
Zhang, S.1
-
33
-
-
84855198120
-
Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
-
Zhang, X, Liu, L, Wu, Y: Multiple positive solutions of a singular fractional differential equation with negatively perturbed term. Math. Comput. Model. 55, 1263-1274 (2012)
-
(2012)
Math. Comput. Model.
, vol.55
, pp. 1263-1274
-
-
Zhang, X.1
Liu, L.2
Wu, Y.3
-
34
-
-
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 (1966/1967)
-
(1966)
Proc. Edinb. Math. Soc.
, vol.15
, pp. 135-140
-
-
Al-Salam, W.A.1
-
35
-
-
84971113538
-
Certain fractional q-integrals and q-derivatives
-
Agarwal, RP: 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.P.1
-
36
-
-
70350404728
-
Fractional integrals and derivatives in q-calculus
-
Rajkovic, PM, Marinkovic, SD, Stankovic, 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
-
-
Rajkovic, P.M.1
Marinkovic, S.D.2
Stankovic, M.S.3
-
38
-
-
84874885703
-
Multiple positive solutions of a singular semipositone integral boundary value problem for fractional q-derivatives equation
-
Article ID 643571 (2013
-
Zhao, Y, Ye, G, Chen, H: Multiple positive solutions of a singular semipositone integral boundary value problem for fractional q-derivatives equation. Abstr. Appl. Anal. 2013, Article ID 643571 (2013)
-
(2013)
Abstr. Appl. Anal.
-
-
Zhao, Y.1
Ye, G.2
Chen, H.3
|