Multiple positive solutions of integral boundary value problem for a class of nonlinear fractional-order differential coupling system with eigenvalue argument and (p1, p2)-Laplacian

Abstract

This paper is concerned with the integral boundary value problem for a class of nonlinear fractional order differential coupling system with eigenvalue argument and (p1, p2)-Laplacian. Some sufficient criteria have been established to guarantee the existence and multiplicity of positive solution by the fixed point index theorem in cones. Meanwhile, we obtain the range of eigenvalue parameter. As an application, one example is also provided to illustrate the validity of our main results.