Nonlocal problems of fractional systems involving left and right fractional derivatives at resonance

AIMS Mathematics

Mei Jia¹  Xiping Liu¹  Zhanbing Bai² 

[1] 1 College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;2 College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China;

关键词: fractional system;    left and right fractional derivative;    nonlocal problem;    resonance condition;   

DOI  :  10.3934/math.2020214

来源: DOAJ

【 摘 要 】

In this paper, we study a class of nonlocal boundary value problems of fractional systems which involves left and right fractional derivatives at resonance. By using the coincidence degree theory, the solvability results for the problems are obtained under the resonant conditions. As an application of our results, we also deal with the existence result for the solution of fractional differential equation which involves both left and right fractional derivatives and satisfies certain boundary conditions under the resonant conditions. Finally, some examples are presented to illustrate our main results.

【 授权许可】

Unknown