Existence of solutions for impulsive fractional evolution equations with periodic boundary condition

Existence of solutions for impulsive fractional evolution equations with periodic boundary condition This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point theorems, the existence theorems of mild solutions are obtained, our results are also more general than some well-known results. Furthermore, as applications that illustrate the abstract results, two examples are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Difference Equations Springer Journals

Existence of solutions for impulsive fractional evolution equations with periodic boundary condition

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations
eISSN
1687-1847
D.O.I.
10.1186/s13662-017-1263-6
Publisher site
See Article on Publisher Site

Abstract

This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point theorems, the existence theorems of mild solutions are obtained, our results are also more general than some well-known results. Furthermore, as applications that illustrate the abstract results, two examples are given.

Journal

Advances in Difference EquationsSpringer Journals

Published: Aug 15, 2017

References

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