Analytical solutions to fractional evolution equations with almost sectorial operators

被引：17
作者：
Ding, Xiao-Li [1 ]
Ahmad, Bashir [2 ]
机构：
[1] Xian Polytech Univ, Dept Math, Xian 710048, Shaanxi, Peoples R China
[2] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
fractional neutral evolution equations; almost sectorial operators; fixed point theorems; existence and uniqueness; mild solutions; strong solutions and classical solutions; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXISTENCE; DYNAMICS; CONTINUITY; INCLUSIONS; UNIQUENESS;
D O I：
10.1186/s13662-016-0927-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：25
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