Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions

Abstract In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations with sign-changing nonlinearities. The result obtained in this paper essentially improves and extends some well-known results. An example demonstrates the main results.

[1]  Zhenlai Han,et al.  Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian , 2015, Appl. Math. Comput..

[2]  Zhenlai Han,et al.  Existence and uniqueness for a class of multi-term fractional differential equations , 2017 .

[3]  Xingqiu Zhang,et al.  Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions , 2015, Appl. Math. Lett..

[4]  J. Henderson,et al.  Positive solutions for a system of semipositone coupled fractional boundary value problems , 2016 .

[5]  J. Henderson,et al.  On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions , 2015 .

[6]  Yonghong Wu,et al.  Variational structure and multiple solutions for a fractional advection-dispersion equation , 2014, Comput. Math. Appl..

[7]  Yanyou Qiao,et al.  Existence of positive solutions of singular fractional differential equations with infinite-point boundary conditions , 2017 .

[8]  Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions , 2017, Journal of inequalities and applications.

[9]  A. Alsaedi,et al.  Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions , 2017 .

[10]  Johnny Henderson,et al.  Positive solutions for a system of nonlocal fractional boundary value problems , 2013 .

[11]  Dingyong Bai,et al.  Positive solutions and eigenvalue intervals of nonlocal boundary value problems with delays , 2007 .

[12]  Yujun Cui,et al.  Uniqueness of solution for boundary value problems for fractional differential equations , 2016, Appl. Math. Lett..

[13]  Johnny Henderson,et al.  Positive solutions for a system of fractional differential equations with coupled integral boundary conditions , 2014, Appl. Math. Comput..

[14]  Multiple positive solutions for a coupled system of fractional multi-point BVP with p-Laplacian operator , 2017 .

[15]  Lishan Liu,et al.  Positive solutions for a class of fractional 3-point boundary value problems at resonance , 2017 .

[16]  D. O’Regan,et al.  Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions , 2012 .