Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation with deviating arguments

Applied Mathematics and Computation

Volumn 222, Issue , 2013, Pages 72-81

  Hu, Chaozhu ^a   Liu, Bin ^a   Xie, Songfa ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Deviating arguments; Monotone iterative technique; Nonlinear boundary conditions; Numerical iterative scheme; Riemann Liouville fractional derivative

Indexed keywords

DEVIATING ARGUMENT; ITERATIVE SCHEMES; MONOTONE ITERATIVE TECHNIQUES; NON-LINEAR BOUNDARY CONDITIONS; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES;

BOUNDARY VALUE PROBLEMS;

ITERATIVE METHODS;

EID: 84881519038     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.07.048     Document Type: Article

References (12)

1. I. Podlubny Fractional Differential Equations Mathematics in Science and Engineering 1999 Academic Press New York
2. V. Lakshmikantham, S. Leela, and J. Vasundhara Theory of Fractional Dynamic Systems 2009 Cambridge Academic Publishers Cambridge
3. Q.M. Al-Mdallal On the numerical solution of fractional Sturm-Liouville problems J. Comput. Math. 87 2010 2837 2845
4. S. Momani, and Z. Odibat Analytical approach to linear fractional partial differential equations arising in fluid mechanics Phys. Lett. A 355 2006 271 279 (Pubitemid 43783194)
5. S. Momani, and N. Shawagfeh Decomposition method for solving fractional Riccati differential equations Appl. Math. Comput. 182 2006 1083 1092 (Pubitemid 44838818)
6. Q.M. Al-Mdallal, M.I. Syam, and M.N. Anwar A collocation-shooting method for solving fractional boundary value problems Commun. Nonlinear Sci. Numer. Simul. 15 2010 3814 3822
7. S. Abbas, and M. Benchohra Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order Nonlinear Anal. Hybrid Syst. 4 2010 406 413
8. M. Benchohra, and S. Hamani The method of upper and lower solutions and impulsive fractional differential inclusions Nonlinear Anal. Hybrid Syst. 3 2009 433 440
9. A. Shi, and S. Zhang Upper and lower solutions method and a fractional differential equation boundary value problem Electron. J. Qual. Theory Differ. Equ. 30 2009 1 13
10. M. Al-Refai, and M. Ali Hajji Monotone iterative sequences for nonlinear boundary value problems of fractional order Nonlinear Anal. 74 2011 3531 3539
11. Guotao Wang Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments J. Comput. Appl. Math. 236 2012 1430 2425
12. V. Lakshmikanthan, and A.S. Vatsala Theory of fractional differential inequalities and applications Commun. Appl. Anal. 11 2007 871 879