-
1
-
-
64249087228
-
"Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions"
-
preprint
-
B. Ahmad and J. J. Nieto, "Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions," preprint.
-
-
-
Ahmad, B.1
Nieto, J.J.2
-
2
-
-
64249172146
-
"Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions"
-
to appear in Dynamic Systems and Applications
-
B. Ahmad and S. Sivasundaram, "Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions," to appear in Dynamic Systems and Applications.
-
-
-
Ahmad, B.1
Sivasundaram, S.2
-
3
-
-
53949107192
-
"Almost automorphic mild solutions to fractional differential equations"
-
D. Araya and C. Lizama, "Almost automorphic mild solutions to fractional differential equations," Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 11, pp. 3692-3705, 2008.
-
(2008)
Nonlinear Analysis: Theory, Methods & Applications
, vol.69
, Issue.11
, pp. 3692-3705
-
-
Araya, D.1
Lizama, C.2
-
4
-
-
25144460994
-
"Positive solutions for boundary value problem of nonlinear fractional differential equation"
-
Z. Bai and H. Lü, "Positive solutions for boundary value problem of nonlinear fractional differential equation," Journal of Mathematical Analysis and Applications, vol. 311, no. 2, pp. 495-505, 2005.
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.311
, Issue.2
, pp. 495-505
-
-
Bai, Z.1
Lü, H.2
-
5
-
-
84868686929
-
"Existence of periodic solution for a nonlinear fractional differential equation"
-
preprint
-
M. Belmekki, J. J. Nieto, and R. Rodríguez-López, "Existence of periodic solution for a nonlinear fractional differential equation," preprint.
-
-
-
Belmekki, M.1
Nieto, J.J.2
Rodríguez-López, R.3
-
6
-
-
64249135210
-
"Existence results for differential inclusions with fractional order and impulses"
-
preprint
-
M. Benchohra, S. Hamani, J. J. Nieto, and B. A. Slimani, "Existence results for differential inclusions with fractional order and impulses," preprint.
-
-
-
Benchohra, M.1
Hamani, S.2
Nieto, J.J.3
Slimani, B.A.4
-
7
-
-
34247323827
-
"Fractional differential equations as alternative models to nonlinear differential equations"
-
B. Bonilla, M. Rivero, L. Rodríguez-Germá, and J. J. Trujillo, "Fractional differential equations as alternative models to nonlinear differential equations," AppliedMathematics and Computation, vol. 187, no. 1, pp. 79-88, 2007.
-
(2007)
AppliedMathematics and Computation
, vol.187
, Issue.1
, pp. 79-88
-
-
Bonilla, B.1
Rivero, M.2
Rodríguez-Germá, L.3
Trujillo, J.J.4
-
8
-
-
58049138945
-
"Some new existence results for fractional differential inclusions with boundary conditions"
-
Y.-K. Chang and J. J. Nieto, "Some new existence results for fractional differential inclusions with boundary conditions," Mathematical and Computer Modelling, vol. 49, no. 3-4, pp. 605-609, 2009.
-
(2009)
Mathematical and Computer Modelling
, vol.49
, Issue.3-4
, pp. 605-609
-
-
Chang, Y.-K.1
Nieto, J.J.2
-
9
-
-
47849129193
-
"Mathematical modeling of time fractional reactiondiffusion systems"
-
V. Gafiychuk, B. Datsko, and V. Meleshko, "Mathematical modeling of time fractional reactiondiffusion systems," Journal of Computational and Applied Mathematics, vol. 220, no. 1-2, pp. 215-225, 2008.
-
(2008)
Journal of Computational and Applied Mathematics
, vol.220
, Issue.1-2
, pp. 215-225
-
-
Gafiychuk, V.1
Datsko, B.2
Meleshko, V.3
-
10
-
-
10844262723
-
"Positive solutions of a system of non-autonomous fractional differential equations"
-
V. Daftardar-Gejji, "Positive solutions of a system of non-autonomous fractional differential equations," Journal of Mathematical Analysis and Applications, vol. 302, no. 1, pp. 56-64, 2005.
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.302
, Issue.1
, pp. 56-64
-
-
Daftardar-Gejji, V.1
-
11
-
-
44649117334
-
"Boundary value problems for multi-term fractional differential equations"
-
V. Daftardar-Gejji and S. Bhalekar, "Boundary value problems for multi-term fractional differential equations," Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 754-765, 2008.
-
(2008)
Journal of Mathematical Analysis and Applications
, vol.345
, Issue.2
, pp. 754-765
-
-
Daftardar-Gejji, V.1
Bhalekar, S.2
-
12
-
-
36248933572
-
"Positive solutions for boundary value problem of nonlinear fractional differential equation"
-
Article ID 10368
-
M. El-Shahed, "Positive solutions for boundary value problem of nonlinear fractional differential equation," Abstract and Applied Analysis, vol. 2007, Article ID 10368, 8 pages, 2007.
-
(2007)
Abstract and Applied Analysis
, vol.2007
, pp. 8
-
-
El-Shahed, M.1
-
13
-
-
44649165019
-
"Subordination and superordination for univalent solutions for fractional differential equations"
-
R. W. Ibrahim and M. Darus, "Subordination and superordination for univalent solutions for fractional differential equations," Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 871-879, 2008.
-
(2008)
Journal of Mathematical Analysis and Applications
, vol.345
, Issue.2
, pp. 871-879
-
-
Ibrahim, R.W.1
Darus, M.2
-
14
-
-
56049100715
-
"Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation"
-
H. Jafari and S. Seifi, "Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation," Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 5, pp. 2006-2012, 2009.
-
(2009)
Communications in Nonlinear Science and Numerical Simulation
, vol.14
, Issue.5
, pp. 2006-2012
-
-
Jafari, H.1
Seifi, S.2
-
15
-
-
84977656637
-
-
Elsevier Science B.V., Amsterdam, The Netherlands
-
A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, vol. 204 of North-Holland Mathematics Studies, Elsevier Science B.V., Amsterdam, The Netherlands, 2006.
-
(2006)
Theory and Applications of Fractional Differential Equations, Vol. 204 of North-Holland Mathematics Studies
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
16
-
-
35448979806
-
"Fractional order adaptive high-gain controllers for a class of linear systems"
-
S. Ladaci, J. J. Loiseau, and A. Charef, "Fractional order adaptive high-gain controllers for a class of linear systems," Communications in Nonlinear Science and Numerical Simulation, vol. 13, no. 4, pp. 707-714, 2008.
-
(2008)
Communications in Nonlinear Science and Numerical Simulation
, vol.13
, Issue.4
, pp. 707-714
-
-
Ladaci, S.1
Loiseau, J.J.2
Charef, A.3
-
17
-
-
27744589296
-
"Finite time stability analysis of PDα fractional control of robotic time-delay systems"
-
M. P. Lazarević, "Finite time stability analysis of PDα fractional control of robotic time-delay systems," Mechanics Research Communications, vol. 33, no. 2, pp. 269-279, 2006.
-
(2006)
Mechanics Research Communications
, vol.33
, Issue.2
, pp. 269-279
-
-
Lazarević, M.P.1
-
18
-
-
0003797958
-
-
Academic Press, San Diego, Calif, USA
-
I. Podlubny, Fractional Differential Equations, vol. 198 of Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA, 1999.
-
(1999)
Fractional Differential Equations, Vol. 198 of Mathematics in Science and Engineering
-
-
Podlubny, I.1
-
19
-
-
38049021511
-
"On the solution of the fractional nonlinear Schrödinger equation"
-
S. Z. Rida, H. M. El-Sherbiny, and A. A. M. Arafa, "On the solution of the fractional nonlinear Schrödinger equation," Physics Letters A, vol. 372, no. 5, pp. 553-558, 2008.
-
(2008)
Physics Letters A
, vol.372
, Issue.5
, pp. 553-558
-
-
Rida, S.Z.1
El-Sherbiny, H.M.2
Arafa, A.A.M.3
-
20
-
-
0003598080
-
-
Gordon and Breach Science, Yverdon, Switzerland
-
S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science, Yverdon, Switzerland, 1993.
-
(1993)
Fractional Integrals and Derivatives: Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
21
-
-
50249124477
-
"Differential and integral relations involving fractional derivatives of Airy functions and applications"
-
V. Varlamov, "Differential and integral relations involving fractional derivatives of Airy functions and applications," Journal of Mathematical Analysis and Applications, vol. 348, no. 1, pp. 101-115, 2008.
-
(2008)
Journal of Mathematical Analysis and Applications
, vol.348
, Issue.1
, pp. 101-115
-
-
Varlamov, V.1
-
22
-
-
33645152919
-
"Positive solutions for boundary-value problems of nonlinear fractional differential equations"
-
S. Zhang, "Positive solutions for boundary-value problems of nonlinear fractional differential equations," Electronic Journal of Differential Equations, vol. 2006, no. 36, pp. 1-12, 2006.
-
(2006)
Electronic Journal of Differential Equations
, vol.2006
, Issue.36
, pp. 1-12
-
-
Zhang, S.1
-
23
-
-
64249092279
-
"Some existence results for fractional integrodifferential equations with nonlinear conditions"
-
B. Ahmad and S. Sivasundaram, "Some existence results for fractional integrodifferential equations with nonlinear conditions," Communications in Applied Analysis, vol. 12, pp. 107-112, 2008.
-
(2008)
Communications in Applied Analysis
, vol.12
, pp. 107-112
-
-
Ahmad, B.1
Sivasundaram, S.2
-
24
-
-
49649115744
-
"Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions"
-
B. Ahmad and B. S. Alghamdi, "Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions," Computer Physics Communications, vol. 179, no. 6, pp. 409-416, 2008.
-
(2008)
Computer Physics Communications
, vol.179
, Issue.6
, pp. 409-416
-
-
Ahmad, B.1
Alghamdi, B.S.2
-
25
-
-
50849112715
-
"On the existence of T-periodic solutions for Duffing type integro-differential equations with p-Laplacian"
-
B. Ahmad, "On the existence of T-periodic solutions for Duffing type integro-differential equations with p-Laplacian," Lobachevskii Journal of Mathematics, vol. 29, no. 1, pp. 1-4, 2008.
-
(2008)
Lobachevskii Journal of Mathematics
, vol.29
, Issue.1
, pp. 1-4
-
-
Ahmad, B.1
-
26
-
-
64249122070
-
"Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators"
-
to appear in Numerical Functional Analysis and Optimization
-
Y. K. Chang and J. J. Nieto, "Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators," to appear in Numerical Functional Analysis and Optimization.
-
-
-
Chang, Y.K.1
Nieto, J.J.2
-
27
-
-
59049102714
-
"New results for the periodic boundary value problem for impulsive integrodifferential equations"
-
Z. Luo and J. J. Nieto, "New results for the periodic boundary value problem for impulsive integrodifferential equations," Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 6, pp. 2248-2260, 2009.
-
(2009)
Nonlinear Analysis: Theory, Methods & Applications
, vol.70
, Issue.6
, pp. 2248-2260
-
-
Luo, Z.1
Nieto, J.J.2
-
28
-
-
43049124810
-
"On a mixed nonlinear one point boundary value problem for an integrodifferential equation"
-
Article ID 814947
-
S. Mesloub, "On a mixed nonlinear one point boundary value problem for an integrodifferential equation," Boundary Value Problems, vol. 2008, Article ID 814947, 8 pages, 2008.
-
(2008)
Boundary Value Problems
, vol.2008
, pp. 8
-
-
Mesloub, S.1
-
29
-
-
33845894182
-
"New comparison results for impulsive integro-differential equations and applications"
-
J. J. Nieto and R. Rodríguez-López, "New comparison results for impulsive integro-differential equations and applications," Journal of Mathematical Analysis and Applications, vol. 328, no. 2, pp. 1343-1368, 2007.
-
(2007)
Journal of Mathematical Analysis and Applications
, vol.328
, Issue.2
, pp. 1343-1368
-
-
Nieto, J.J.1
Rodríguez-López, R.2
-
30
-
-
43649094597
-
"Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions"
-
B. Ahmad, A. Alsaedi, and B. S. Alghamdi, "Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions," Nonlinear Analysis: Real World Applications, vol. 9, no. 4, pp. 1727-1740, 2008.
-
(2008)
Nonlinear Analysis: Real World Applications
, vol.9
, Issue.4
, pp. 1727-1740
-
-
Ahmad, B.1
Alsaedi, A.2
Alghamdi, B.S.3
-
31
-
-
50349098961
-
"Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions"
-
B. Ahmad and A. Alsaedi, "Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions," Nonlinear Analysis: Real World Applications, vol. 10, no. 1, pp. 358-367, 2009.
-
(2009)
Nonlinear Analysis: Real World Applications
, vol.10
, Issue.1
, pp. 358-367
-
-
Ahmad, B.1
Alsaedi, A.2
-
32
-
-
77952639433
-
"The method of upper and lower solutions for second order differential inclusions with integral boundary conditions"
-
In press
-
M. Benchohra, S. Hamani, and J. J. Nieto, "The method of upper and lower solutions for second order differential inclusions with integral boundary conditions," Rocky Mountain Journal of Mathematics. In press.
-
Rocky Mountain Journal of Mathematics
-
-
Benchohra, M.1
Hamani, S.2
Nieto, J.J.3
-
33
-
-
55549118921
-
"Second-order boundary value problems with integral boundary conditions"
-
A. Boucherif, "Second-order boundary value problems with integral boundary conditions," Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 1, pp. 364-371, 2009.
-
(2009)
Nonlinear Analysis: Theory, Methods & Applications
, vol.70
, Issue.1
, pp. 364-371
-
-
Boucherif, A.1
-
34
-
-
60349098158
-
"On impulsive hyperbolic differential inclusions with nonlocal initial conditions"
-
Y.-K. Chang, J. J. Nieto, and W.-S. Li, "On impulsive hyperbolic differential inclusions with nonlocal initial conditions," Journal of Optimization Theory and Applications, vol. 140, no. 3, pp. 431-442, 2009.
-
(2009)
Journal of Optimization Theory and Applications
, vol.140
, Issue.3
, pp. 431-442
-
-
Chang, Y.-K.1
Nieto, J.J.2
Li, W.-S.3
-
35
-
-
85139378697
-
"Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces"
-
to appear in
-
Y. K. Chang, J. J. Nieto, and W. S. Li, "Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces," to appear in Journal of Optimization Theory and Applications.
-
Journal of Optimization Theory and Applications
-
-
Chang, Y.K.1
Nieto, J.J.2
Li, W.S.3
-
36
-
-
61349098900
-
"Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian"
-
In press
-
M. Feng, B. Du, and W. Ge, "Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian," Nonlinear Analysis: Theory, Methods & Applications. In press.
-
Nonlinear Analysis: Theory, Methods & Applications
-
-
Feng, M.1
Du, B.2
Ge, W.3
-
37
-
-
34848835492
-
"Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions"
-
Z. Yang, "Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions," Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 1, pp. 216-225, 2008.
-
(2008)
Nonlinear Analysis: Theory, Methods & Applications
, vol.68
, Issue.1
, pp. 216-225
-
-
Yang, Z.1
-
38
-
-
0001188942
-
"Two remarks on the method of successive approximations"
-
(63)
-
M. A. Krasnosel'skiǐ, "Two remarks on the method of successive approximations," Uspekhi Matematicheskikh Nauk, vol. 10, no. 1(63), pp. 123-127, 1955.
-
(1955)
Uspekhi Matematicheskikh Nauk
, vol.10
, Issue.1
, pp. 123-127
-
-
Krasnosel'skiǐ, M.A.1
|