Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions

Applied Mathematics Letters

Volumn 41, Issue , 2015, Pages 46-51

  Xie, Wenzhe ^a   Xiao, Jing ^b   Luo, Zhiguo ^a  

^a HUNAN NORMAL UNIVERSITY   (China)

^b GUANGDONG MEDICAL UNIVERSITY   (China)

Author keywords

Comparison principle; Nonlinear boundary conditions; Riemann Liouville fractional derivative; The method of upper and lower solutions

Indexed keywords

DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS;

COMPARISON PRINCIPLE; COMPARISON RESULT; EXTREMAL SOLUTIONS; METHOD OF UPPER AND LOWER SOLUTIONS; MONOTONE ITERATIVE TECHNIQUES; NON-LINEAR BOUNDARY CONDITIONS; NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES;

BOUNDARY CONDITIONS;

EID: 84910665240     PISSN: 08939659     EISSN: 18735452     Source Type: Journal    
DOI: 10.1016/j.aml.2014.10.014     Document Type: Article

References (9)

1. Shuqin Zhang Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives Nonlinear Anal. 71 2009 2087 2093
2. Shuqin Zhang Existence of a solution for the fractional differential equation with nonlinear boundary conditions Comput. Math. Appl. 61 2011 1202 1208
3. T. Jankowski Boundary problems for fractional differential equations Appl. Math. Lett. 28 2014 14 19
4. T. Jankowski Existence results to delay fractional differential equations with nonlinear boundary conditions Appl. Math. Comput. 219 2013 9155 9164
5. Guotao Wang Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments J. Comput. Appl. Math. 236 2012 2425 2430
6. J.J. Nieto Maximum principles for fractional differential equations derived from Mittag-Leffler functions Appl. Math. Lett. 23 2010 1248 1251
7. Zhongli Wei, Qingdong Li, and Junling Che Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative J. Math. Anal. Appl. 367 2010 260 272
8. Zhanbing Bai On positive solutions of a nonlocal fractional boundary value problem Nonlinear Anal. 72 2010 916 924
9. Wenzhe Xie, Jing Xiao, and Zhiguo Luo Existence of solutions for Riemann-Liouville fractional boundary value problem Abstr. Appl. Anal. 2014 2014 Article ID 540351, 9 pages