Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions-Reference-Cited by-同舟云学术

Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions

Published:2017-12-01 Issue:6 Volume:20 Page:1471-1484
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Zhang Xingqiu¹,Zhong Qiuyan²

Affiliation:

1. School of Medical Information Engineering, Jining Medical College , Rizhao 276826, Shandong , China

2. Center for Information Technology, Jining Medical College , Jining 272067, Shandong , China

Abstract

Abstract In this article, we prove the existence and uniqueness of solution for some higher-order fractional differential equations with conjugate type integral conditions. The interesting point lies in that the Lipschitz constant is closely associated with the first eigenvalues corresponding to the relevant linear operator. The discussion is based on the Banach contraction map principle and the theory of u 0-positive linear operator.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0077/pdf

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