Existence results to delay fractional differential equations with nonlinear boundary conditions

Applied Mathematics and Computation

Volumn 219, Issue 17, 2013, Pages 9155-9164

  Jankowski, Tadeusz ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Delay arguments; Existence of solutions; Monotone iterative method; Riemann Liouville fractional derivatives

Indexed keywords

DELAY ARGUMENTS; DELAY DIFFERENTIAL INEQUALITY; EXISTENCE OF SOLUTIONS; FRACTIONAL DIFFERENTIAL EQUATIONS; MONOTONE ITERATIVE METHODS; NON-LINEAR BOUNDARY CONDITIONS; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES; SUFFICIENT CONDITIONS;

COMPUTATIONAL METHODS; MATHEMATICAL TECHNIQUES;

DIFFERENTIAL EQUATIONS;

EID: 84876545795     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.03.045     Document Type: Article

References (17)

1. S. Heikkila, and V. Lakshmikantham Monotone Iterative Technique for Discontinuous Nonlinear Differential Equations 1994 Dekker New York
2. T. Jankowski Monotone iterative technique for differential equations with nonlinear boundary conditions Nonlinear Stud. 8 2001 381 388 (Pubitemid 33366037)
3. T. Jankowski Ordinary differential equations with nonlinear boundary conditions Georgian Math. J. 9 2002 287 294
4. T. Jankowski Existence of solutions of boundary value problems for differential equations with delayed arguments J. Comput. Appl. Math. 156 2003 239 252 (Pubitemid 36696094)
5. T. Jankowski On delay differential equations with nonlinear boundary conditions Boundary Value Prob. 2005 2 2005 201 214
6. T. Jankowski Fractional differential equations with deviating arguments Dyn. Syst. Appl. 17 2008 677 684
7. D. Jiang, and J. Wei Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations Nonlinear Anal. 50 2002 885 898 (Pubitemid 34660457)
8. G.S. Ladde, V. Lakshmikantham, and A.S. Vatsala Monotone Iterative Techniques for Nonlinear Differential Equations 1985 Pitman Boston
9. V. Lakshmikantham, S. Leela, and J.V. Devi Theory of Fractional Dynamic Systems 2009 Cambridge Academic Publishers Cambridge
10. L. Lin, X. Liu, and H. Fang Method of upper and lower solutions for fractional differential equations Electron. J. Differ. Equ. 100 2012 1 13
11. F.A. McRae Monotone iterative technique and existence results for fractional differential equations Nonlinear Anal. 71 2009 6093 6096
12. I. Podlubny Fractional Differential Equations 1999 Academic Press San Diego
13. J.D. Ramirez, and A.S. Vatsala Monotone iterative technique for fractional differential equations with periodic boundary conditions Opuscula Math. 29 2009 289 304
14. Z. Wei, G. Li, and J. Che Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative J. Math. Anal. Appl. 367 2010 260 272
15. G. Wang Monotone iterative technique for boundary value problems of a nonlinear fractional differential equations with deviating arguments J. Comput. Appl. Math. 236 2012 2425 2430
16. G. Wang, R.P. Agarwal, and A. Cabada Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations Appl. Math. Lett. 25 2012 1019 1024
17. S. Zhang Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives Nonlinear Anal. 71 2009 2087 2093