On a nonlocal problem for fractional differential equations via resolvent operators

Advances in Difference Equations

Lizhen Chen¹  Zhenbin Fan²  Gang Li³ 

[1] Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, P.R. China;Department of Mathematics, Changshu Institute of Technology, Suzhou, P.R. China;Department of Mathematics, Yangzhou University, Yangzhou, P.R. China

关键词: nonlocal conditions;    analytic resolvent;    Caputo fractional order derivative;    mild solution;   

DOI  :  10.1186/1687-1847-2014-251

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the techniques of approximate solutions, the analytic resolvent method, and the uniform continuity of the resolvent, we discuss the existence of mild solutions for nonlocal fractional differential equations governed by a linear closed operator which generates a resolvent. An example is also given to illustrate the application of our theory. MSC:34K37, 47A10.

【 授权许可】

CC BY