A Class of $$(\omega ,{\mathbb {T}})$$-Periodic Solutions for Impulsive Evolution Equations of Sobolev Type

2022 ◽  
Author(s):  
Kui Liu ◽  
Michal Fečkan ◽  
JinRong Wang
Keyword(s):  
Periodic Solutions ◽  
Evolution Equations ◽  
Sobolev Type ◽  
Impulsive Evolution Equations

A Study on Impulsive Hilfer Fractional Evolution Equations with Nonlocal Conditions

2020 ◽  
Vol 21 (2) ◽  
pp. 205-218
Author(s):  
Haide Gou ◽  
Yongxiang Li
Keyword(s):  
Fractional Derivative ◽  
Measure Of Noncompactness ◽  
Evolution Equations ◽  
Mild Solutions ◽  
Nonlocal Conditions ◽  
Sobolev Type ◽  
Initial Value ◽  
Liouville Fractional Derivative ◽  
Characteristic Solution Operators ◽  
Impulsive Evolution Equations

AbstractIn this paper, we concern with the existence of mild solution to nonlocal initial value problem for nonlinear Sobolev-type impulsive evolution equations with Hilfer fractional derivative which generalized the Riemann–Liouville fractional derivative. At first, we establish an equivalent integral equation for our main problem. Second, by means of the properties of Hilfer fractional calculus, combining measure of noncompactness with the fixed-point methods, we obtain the existence results of mild solutions with two new characteristic solution operators. The results we obtained are new and more general to known results. At last, an example is provided to illustrate the results.

scholarly journals (\omega,\mathbb{T}) -periodic solutions of impulsive evolution equations

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Michal Fečkan ◽  
◽  
Kui Liu ◽  
JinRong Wang ◽  
◽  
...  
Keyword(s):  
Periodic Solutions ◽  
Evolution Equations ◽  
Impulsive Evolution Equations

scholarly journals On the stability of first order impulsive evolution equations

2014 ◽  
Vol 34 (3) ◽  
pp. 639 ◽  
Author(s):  
JinRong Wang ◽  
Michal Fečkan ◽  
Yong Zhou
Keyword(s):  
Evolution Equations ◽  
First Order ◽  
The Stability ◽  
Impulsive Evolution Equations
Sign in / Sign up

Export Citation Format

Share Document