Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces

Advances in Difference Equations

Jin Liang¹  Zhi-Wei Lv²  Ti-Jun Xiao³ 

[1] Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China;Department of Mathematics, University of Science and Technology of China, Hefei, China;Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, China

关键词: Differential Equation;    Banach Space;    Significant Role;    Partial Differential Equation;    Lower Limit;   

DOI  :  10.1155/2010/340349

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.

【 授权许可】

CC BY