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Analytical solutions to fractional evolution equations with almost sectorial operators
Journal article   Open access  Peer reviewed

Analytical solutions to fractional evolution equations with almost sectorial operators

Xiao-Li Ding and Bashir Ahmad
Advances in difference equations, Vol.2016(1), pp.1-25
08/08/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.1186/s13662-016-0927-yView
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