-
1
-
-
77954144417
-
Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
-
R. Agarwal, D. O'Regan, and S. Staněk Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations J. Math. Anal. Appl. 371 2010 57 68
-
(2010)
J. Math. Anal. Appl.
, vol.371
, pp. 57-68
-
-
Agarwal, R.1
O'Regan, D.2
Staněk, S.3
-
2
-
-
85087595614
-
Some existence results for boundary value problems of fractional semilinear evolution equations
-
B. Ahmad Some existence results for boundary value problems of fractional semilinear evolution equations Electron. J. Qual. Theory Differ. Equ. 28 2009 1 7
-
(2009)
Electron. J. Qual. Theory Differ. Equ.
, vol.28
, pp. 1-7
-
-
Ahmad, B.1
-
3
-
-
70349131961
-
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
-
B. Ahmad, and J.J. Nieto Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions Comput. Math. Appl. 58 2009 1838 1843
-
(2009)
Comput. Math. Appl.
, vol.58
, pp. 1838-1843
-
-
Ahmad, B.1
Nieto, J.J.2
-
4
-
-
25144460994
-
Positive solutions for boundary value problem of nonlinear fractional differential equation
-
DOI 10.1016/j.jmaa.2005.02.052, PII S0022247X05001733
-
Z. Bai, and H. Lü Positive solutions for boundary value problem of nonlinear fractional differential equation J. Math. Anal. Appl. 311 2005 495 505 (Pubitemid 41350217)
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.311
, Issue.2
, pp. 495-505
-
-
Bai, Z.1
Lu, H.2
-
5
-
-
70249121999
-
Existence of periodic solution for a nonlinear fractional differential equation
-
(Art. ID 324561)
-
M. Belmekki, J.J. Nieto, and R. Rodriguez-López Existence of periodic solution for a nonlinear fractional differential equation Bound. Value Probl. 2009 1 18 (Art. ID 324561)
-
(2009)
Bound. Value Probl.
, pp. 1-18
-
-
Belmekki, M.1
Nieto, J.J.2
Rodriguez-López, R.3
-
6
-
-
84866046515
-
The operational matrix of fractional integration for shifted Chebyshev polynomials
-
A. Bhrawy, and A. Alofi The operational matrix of fractional integration for shifted Chebyshev polynomials Appl. Math. Lett. 26 2013 25 31
-
(2013)
Appl. Math. Lett.
, vol.26
, pp. 25-31
-
-
Bhrawy, A.1
Alofi, A.2
-
7
-
-
84872609098
-
A new formula for fractional integrals of Chebyshev polynomials: Application for solving multi-term fractional differential equations
-
A. Bhrawy, M. Tharwat, and A. Yildirim A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations Appl. Math. Model. 37 2013 4245 4252
-
(2013)
Appl. Math. Model.
, vol.37
, pp. 4245-4252
-
-
Bhrawy, A.1
Tharwat, M.2
Yildirim, A.3
-
9
-
-
42149141688
-
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
-
K. Diethelm An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives Numer. Algorithms 47 2008 361 390
-
(2008)
Numer. Algorithms
, vol.47
, pp. 361-390
-
-
Diethelm, K.1
-
10
-
-
80052270048
-
A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
-
E. Doha, A. Bhrawy, and S. Ezz-Eldien A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order Comput. Math. Appl. 62 2011 2364 2373
-
(2011)
Comput. Math. Appl.
, vol.62
, pp. 2364-2373
-
-
Doha, E.1
Bhrawy, A.2
Ezz-Eldien, S.3
-
11
-
-
79960555480
-
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
-
E. Doha, A. Bhrawy, and S. Ezz-Eldien Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations Appl. Math. Model. 35 2011 5662 5672
-
(2011)
Appl. Math. Model.
, vol.35
, pp. 5662-5672
-
-
Doha, E.1
Bhrawy, A.2
Ezz-Eldien, S.3
-
12
-
-
84861893481
-
A new Jacobi operational matrix: An application for solving fractional differential equations
-
E. Doha, A. Bhrawy, and S. Ezz-Eldien A new Jacobi operational matrix: an application for solving fractional differential equations Appl. Math. Model. 36 2012 4931 4943
-
(2012)
Appl. Math. Model.
, vol.36
, pp. 4931-4943
-
-
Doha, E.1
Bhrawy, A.2
Ezz-Eldien, S.3
-
13
-
-
77953688007
-
Existence of a positive solution to a class of fractional differential equations
-
C. Goodrich Existence of a positive solution to a class of fractional differential equations Appl. Math. Lett. 23 2010 1050 1055
-
(2010)
Appl. Math. Lett.
, vol.23
, pp. 1050-1055
-
-
Goodrich, C.1
-
14
-
-
84881584962
-
Fractional boundary value problems with integral boundary conditions
-
J.R. Graef, L. Kong, Q. Kong, and M. Wang Fractional boundary value problems with integral boundary conditions Appl. Anal. 92 2013 2008 2020
-
(2013)
Appl. Anal.
, vol.92
, pp. 2008-2020
-
-
Graef, J.R.1
Kong, L.2
Kong, Q.3
Wang, M.4
-
15
-
-
85086493297
-
Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition
-
J.R. Graef, L. Kong, Q. Kong, and M. Wang Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition Electron. J. Qual. Theory Differ. Equ. 2013 55 2013 1 11
-
(2013)
Electron. J. Qual. Theory Differ. Equ.
, vol.2013
, Issue.55
, pp. 1-11
-
-
Graef, J.R.1
Kong, L.2
Kong, Q.3
Wang, M.4
-
16
-
-
84860461303
-
Positive solutions for a semipositone fractional boundary value problem with a forcing term
-
J.R. Graef, L. Kong, and B. Yang Positive solutions for a semipositone fractional boundary value problem with a forcing term Fract. Calc. Appl. Anal. 15 2012 8 24
-
(2012)
Fract. Calc. Appl. Anal.
, vol.15
, pp. 8-24
-
-
Graef, J.R.1
Kong, L.2
Yang, B.3
-
17
-
-
84864939186
-
Solvability of a two-point fractional boundary value problem
-
A. Guezane-Lakoud, and R. Khaldi Solvability of a two-point fractional boundary value problem J. Nonlinear Sci. Appl. 5 2012 64 73
-
(2012)
J. Nonlinear Sci. Appl.
, vol.5
, pp. 64-73
-
-
Guezane-Lakoud, A.1
Khaldi, R.2
-
19
-
-
84858110986
-
Wavelet collocation method for solving multiorder fractional differential equations
-
(Art. ID 542401)
-
M. Heydari, M. Hooshmandasl, F. Maalek Ghaini, and F. Mohammadi Wavelet collocation method for solving multiorder fractional differential equations J. Appl. Math. 2012 1 19 (Art. ID 542401)
-
(2012)
J. Appl. Math.
, pp. 1-19
-
-
Heydari, M.1
Hooshmandasl, M.2
Maalek Ghaini, F.3
Mohammadi, F.4
-
21
-
-
71649090846
-
The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
-
D. Jiang, and C. Yuan The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application Nonlinear Anal. 72 2010 710 719
-
(2010)
Nonlinear Anal.
, vol.72
, pp. 710-719
-
-
Jiang, D.1
Yuan, C.2
-
24
-
-
84863231941
-
Positive solutions of nonlinear fractional boundary value problems with Dirichlet boundary conditions
-
Q. Kong, and M. Wang Positive solutions of nonlinear fractional boundary value problems with Dirichlet boundary conditions Electron. J. Qual. Theory Differ. Equ. 2012 17 2012 1 13
-
(2012)
Electron. J. Qual. Theory Differ. Equ.
, vol.2012
, Issue.17
, pp. 1-13
-
-
Kong, Q.1
Wang, M.2
-
25
-
-
79952454978
-
Numerical approaches to fractional calculus and fractional ordinary differential equation
-
C. Li, A. Chen, and J. Ye Numerical approaches to fractional calculus and fractional ordinary differential equation J. Comput. Phys. 230 2011 3352 3368
-
(2011)
J. Comput. Phys.
, vol.230
, pp. 3352-3368
-
-
Li, C.1
Chen, A.2
Ye, J.3
-
26
-
-
84868198807
-
Spectral approximations to the fractional integral and derivative
-
C. Li, F. Zeng, and F. Liu Spectral approximations to the fractional integral and derivative Fract. Calc. Appl. Anal. 15 2012 383 406
-
(2012)
Fract. Calc. Appl. Anal.
, vol.15
, pp. 383-406
-
-
Li, C.1
Zeng, F.2
Liu, F.3
-
27
-
-
58149289495
-
Discretized fractional calculus with a series of Chebyshev polynomial
-
T. Miyakoda Discretized fractional calculus with a series of Chebyshev polynomial Electron. Notes Theor. Comput. Sci. 225 2009 239 244
-
(2009)
Electron. Notes Theor. Comput. Sci.
, vol.225
, pp. 239-244
-
-
Miyakoda, T.1
-
28
-
-
84875393496
-
Positive solutions of a fractional thermostat model
-
(Art. no. 5)
-
J.J. Nieto, and J. Pimentel Positive solutions of a fractional thermostat model Bound. Value Probl. 2013 (Art. no. 5)
-
(2013)
Bound. Value Probl.
-
-
Nieto, J.J.1
Pimentel, J.2
-
29
-
-
54249111560
-
Quadrature rule for Abel's equations: Uniformly approximating fractional derivatives
-
H. Sugiura, and T. Hasegawa Quadrature rule for Abel's equations: uniformly approximating fractional derivatives J. Comput. Appl. Math. 223 2009 459 468
-
(2009)
J. Comput. Appl. Math.
, vol.223
, pp. 459-468
-
-
Sugiura, H.1
Hasegawa, T.2
-
31
-
-
0004136180
-
-
Society for Industrial and Applied Mathematics Philadelphia, PA
-
L. Trefethen Spectral methods in MATLAB 2000 Society for Industrial and Applied Mathematics Philadelphia, PA
-
(2000)
Spectral Methods in MATLAB
-
-
Trefethen, L.1
-
32
-
-
81755181012
-
Monotone and concave positive solutions to a boundary value problem for higher-order fractional differential equation
-
(Art. ID 430457)
-
J. Wang, H. Xiang, and Y. Zhao Monotone and concave positive solutions to a boundary value problem for higher-order fractional differential equation Abstr. Appl. Anal. 2011 1 14 (Art. ID 430457)
-
(2011)
Abstr. Appl. Anal.
, pp. 1-14
-
-
Wang, J.1
Xiang, H.2
Zhao, Y.3
-
33
-
-
77953682735
-
Unique positive solutions for fractional differential equation boundary value problems
-
L. Yang, and H. Chen Unique positive solutions for fractional differential equation boundary value problems Appl. Math. Lett. 23 2010 1095 1098
-
(2010)
Appl. Math. Lett.
, vol.23
, pp. 1095-1098
-
-
Yang, L.1
Chen, H.2
-
34
-
-
74149089358
-
Positive solutions to singular boundary value problem for nonlinear fractional differential equation
-
S. Zhang Positive solutions to singular boundary value problem for nonlinear fractional differential equation Comput. Math. Appl. 59 2010 1300 1309
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1300-1309
-
-
Zhang, S.1
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