Positive solutions for singular higher-order semipositone fractional differential equations with conjugate type integral conditions

Volume 10, Issue 9, pp 4983--5001 http://dx.doi.org/10.22436/jnsa.010.09.37

Publication Date: September 23, 2017 Submission Date: March 07, 2017

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Authors

Qiuyan Zhong - Center for Information Technology, Jining Medical University, Jining, 272067, P. R. China. Xingqiu Zhang - School of Medical Information Engineering, Jining Medical University, Rizhao, 276826, P. R. China. Zhuyan Shao - School of Medical Information Engineering, Jining Medical University, Rizhao, 276826, P. R. China.

Abstract

In this article, height functions on different bounded sets of the nonlinear term and their integrations are considered to obtain the existence of positive solutions for a class of semipositone higher-order fractional differential equations with nonlocal conjugate type integral conditions. The singularities of the nonlinearity are related to both the time and the space variables.

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Keywords

• Fractional differential equations
• conjugate type integral conditions
• positive solution
• semipositone
• singularity

MSC

•  26A33
•  34B15
•  34B16

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