Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations

Applied Mathematics Letters - Tập 23 Số 4 - Trang 390-394 - 2010
Bashir Ahmad1
1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Tóm tắt

Từ khóa


Tài liệu tham khảo

Ahmad, 2009, Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, Bound. Value Probl., 10.1155/2009/708576

Ahmad, 2009, Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions, Bound. Value Probl., 10.1155/2009/625347

Ahmad, 2009, Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions, Commun. Appl. Anal., 13, 121

Ahmad, 2009, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl., 58, 1838, 10.1016/j.camwa.2009.07.091

Chang, 2009, Some new existence results for fractional differential inclusions with boundary conditions, Math. Comput. Modelling, 49, 605, 10.1016/j.mcm.2008.03.014

Gafiychuk, 2008, Mathematical modeling of time fractional reaction-diffusion systems, J. Comput. Appl. Math., 220, 215, 10.1016/j.cam.2007.08.011

Gejji, 2005, Positive solutions of a system of non-autonomous fractional differential equations, J. Math. Anal. Appl., 302, 56, 10.1016/j.jmaa.2004.08.007

Ibrahim, 2008, Subordination and superordination for univalent solutions for fractional differential equations, J. Math. Anal. Appl., 345, 871, 10.1016/j.jmaa.2008.05.017

Kilbas, 2006, vol. 204

Ladaci, 2008, Fractional order adaptive high-gain controllers for a class of linear systems, Commun. Nonlinear Sci. Numer. Simul., 13, 707, 10.1016/j.cnsns.2006.06.009

Lakshmikantham, 2009

Podlubny, 1999

Aliyev, 2001, Solution of irregular boundary value problems of ordinary differential equations, Analysis (Munich), 21, 135

Bueno-Orovio, 2006, Spectral methods for partial differential equations in irregular domains: The spectral smoothed boundary method, SIAM J. Sci. Comput., 28, 886, 10.1137/040607575

Heintz, 1998, On the initial boundary value problems for the Enskog equation in irregular domains, J. Stat. Phys., 90, 663, 10.1023/A:1023268718526

Makin, 2009, Regularized trace of the Sturm–Liouville operator with irregular boundary conditions, Electron. J. Differential Equations, 2009, 1

Rashkov, 1999, Regular and irregular boundary conditions in AdS/CFT correspondence for spinor field, Phys. Lett. B, 466, 190, 10.1016/S0370-2693(99)01112-0

Stupelis, 2007

Zhao, 2002, Plate vibration under irregular internal supports, Internat. J. Solids Structures, 39, 1361, 10.1016/S0020-7683(01)00241-4

Smart, 1980

Denche, 2007, Boundary-value problems for second-order differential operators with nonlocal boundary conditions, Electronic J. Differential Equations, 2007