Analytical solutions to fractional evolution equations with almost sectorial operators

作者：Ding, Xiao-Li; Ahmad, Bashir^*

来源：Advances in Difference Equations, 2016, 2016(1): 203.

DOI：10.1186/s13662-016-0927-y

• fractional neutral evolution equations
• almost sectorial operators
• fixed point theorems
• existence and uniqueness
• mild solutions
• strong solutions and classical solutions

In this paper, with the aid of functional analysis, for almost sectorial operators and some fixed point theorems, we study the existence and uniqueness of mild solutions to fractional neutral evolution equations with almost sectorial operators. We also show that mild solutions can become strong and classical solutions under appropriate assumptions. Finally, we present an example to illustrate the applicability of our results.

• 出版日期2016-8-8
• 单位西安工程大学