Fractional neutral evolution equations with nonlocal conditions

Advances in Difference Equations

Hamdy M Ahmed¹ 

[1] Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

关键词: fractional calculus;    semilinear neutral differential equations;    semigroups;    nonlocal conditions;    mild solutions;    Sadovskii fixed-point theorem;   

DOI  :  10.1186/1687-1847-2013-117

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, we deal with the fractional neutral differential equations involving nonlocal initial conditions. The existence of mild solutions are established. The results are obtained by using the fractional power of operators and the Sadovskii’s fixed point theorem. An application to a fractional partial differential equation with nonlocal initial condition is also considered. MSC:26A33, 34K30, 34K37, 34K40.

【 授权许可】

CC BY