Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator

被引:1
作者
Huang, Ruihui [1 ]
机构
[1] Wuhan Univ, Dept Math & Stat, Wuhan 430072, Hubei, Peoples R China
关键词
DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; BROWNIAN-MOTION; DERIVATIVES; MODEL;
D O I
10.1155/2013/743538
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a p-Laplacian operator. Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of the above problem are established. Our results improve and complement the recent work of Chen and Liu, 2012.
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页数:6
相关论文
共 17 条
[1]  
[Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
[2]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[3]   An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator [J].
Chen, Taiyong ;
Liu, Wenbin .
APPLIED MATHEMATICS LETTERS, 2012, 25 (11) :1671-1675
[4]   Arbitrage in fractional Brownian motion models [J].
Cheridito, P .
FINANCE AND STOCHASTICS, 2003, 7 (04) :533-553
[5]  
Cutland NJ, 1995, PROG PROBAB, V36, P327
[6]   Spurious correlation under fractional integration in output series [J].
Dalkir, Mehmet .
ECONOMICS LETTERS, 2010, 107 (02) :165-168
[7]   Existence of a positive solution to systems of differential equations of fractional order [J].
Goodrich, Christopher S. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1251-1268
[8]   Existence of a positive solution to a class of fractional differential equations [J].
Goodrich, Christopher S. .
APPLIED MATHEMATICS LETTERS, 2010, 23 (09) :1050-1055
[9]  
Leibenson L.S., 1983, Izv. Akad. Nauk SSSR, V9, P7
[10]   Modeling of the national economies in state-space: A fractional calculus approach [J].
Skovranek, Tomas ;
Podlubny, Igor ;
Petras, Ivo .
ECONOMIC MODELLING, 2012, 29 (04) :1322-1327