Multiple Positive Solutions for Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions and a Parameter

Author:

Mao Juan1ORCID,Zhao Daliang2ORCID

Affiliation:

1. Department of Basic Courses, Shandong Polytechnic, Jinan, 250104, China

2. School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, China

Abstract

By using the theory of fixed-point index on cone for differentiable operators, spectral radii of some related linear integral operators, and properties of Green’s function, the existence of multiple positive solutions to a nonlinear fractional differential system with integral boundary value conditions and a parameter is established. At last, some examples are also provided to illustrate the validity of our main results.

Funder

Shandong Province Higher Educational Science and Technology

Publisher

Hindawi Limited

Subject

Analysis

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