New existence results on positive solutions of four-point integral type BVPs for coupled multi-term fractional differential equations

被引:0
作者
Yang X. [1 ]
Liu Y. [2 ]
机构
[1] Department of Computer, Guangdong Police College, Guangzhou
[2] Department of Mathematics, Guangdong University of Finance and Economics, Guangzhou
关键词
Fixed-point theorem; Four-point integral boundary value problem; Multi-term fractional differential system; Non-Carathéodory function;
D O I
10.1007/s40096-016-0197-6
中图分类号
学科分类号
摘要
In this article, we establish some new existence results on positive solutions of a four-point integral boundary value problem for coupled nonlinear multi-term fractional differential equations. Our analysis rely on the well known fixed point theorems. Numerical examples are given to illustrate the main theorems. © 2016, The Author(s).
引用
收藏
页码:227 / 240
页数:13
相关论文
共 26 条
  • [1] Ahmad B., Nieto J.J., Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl., 58, pp. 1838-1843, (2009)
  • [2] Avery R.I., Peterson A.C., Three positive fixed points of nonlinear operators on ordered banach spaces, Comput. Math. Appl., 42, pp. 313-322, (2001)
  • [3] Basset A.B., On the descent of a sphere in a vicous liquid, Q. J. Pure Appl. Math., 41, pp. 369-381, (1910)
  • [4] Bai C.Z., Fang J.X., The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations, Appl. Math. Comput., 150, 3, pp. 611-621, (2004)
  • [5] Caponetto R., Dongona G., Fortuna L., Fractional Differential Systems, Modeling and control applications, World Scientific Series on Nonlinear Science, Ser. A, Vol. 72. World Scientific Publishing Co. Pte. Ltd., (2010)
  • [6] Duan J., Temuer C., Solution for system of linear fractional differential equations with constant coefficients, J. Math., 29, pp. 599-603, (2009)
  • [7] Gaber M., Brikaa M.G., Existence results for a coupled system of nonlinear fractional differential equation with four-point boundary conditions, ISRN Math. Anal., (2011)
  • [8] Goodrich C.S., Existence of a positive solution to systems of differential equations of fractional order, Comput. Math. Appl., 62, pp. 1251-1268, (2011)
  • [9] Liu Y., Existence and non-existence of positive solutions of BVPs for fractional order elastic beam equations with a non-Caratheodory nonlinearity, Appl. Math. Model., 38, 2, pp. 620-640, (2014)
  • [10] Liu Y., Existence of positive solutions of fractional order elastic beam equation with a non-Carathodory nonlinearity, Math. Methods Appl. Sci., 39, 6, pp. 1311-1324, (2015)