Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/s13662-016-0927-y
Keywords
fractional neutral evolution equations; almost sectorial operators; fixed point theorems; existence and uniqueness; mild solutions; strong solutions and classical solutions
Categories
Funding
- Natural Science Foundation of China (NSFC) [11501436]
- Science and Technology Planning Project of Shaanxi Province [2014JQ1041]
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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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