Open Access
Translator Disclaimer
June, 2019 Decay Solutions and Decay Rate for a Class of Retarded Abtract Semilinear Fractional Evolution Inclusions
Do Lan
Taiwanese J. Math. 23(3): 625-651 (June, 2019). DOI: 10.11650/tjm/181101

Abstract

In this paper, we prove the existence of decay integral solutions to a class of fractional differential inclusions with finite delays and estimate their decay rate. For these purposes, we have to construct a suitable regular measure of noncompactness on the space of solutions and then deploy the fixed point theory for condensing multivalued maps. An application to a class of fractional PDE with almost sectorial operator is also given.

Citation

Download Citation

Do Lan. "Decay Solutions and Decay Rate for a Class of Retarded Abtract Semilinear Fractional Evolution Inclusions." Taiwanese J. Math. 23 (3) 625 - 651, June, 2019. https://doi.org/10.11650/tjm/181101

Information

Received: 11 May 2018; Accepted: 31 October 2018; Published: June, 2019
First available in Project Euclid: 12 November 2018

zbMATH: 07068567
MathSciNet: MR3952244
Digital Object Identifier: 10.11650/tjm/181101

Subjects:
Primary: 35B35 , 35R12 , 47H08 , 47H10

Keywords: condensing map , decay rate , decay solutions , fixed point , fractional differential inclusion , impulsive condition , measure of non-compactness , MNC-estimate , nonlocal condition

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

JOURNAL ARTICLE
27 PAGES


SHARE
Vol.23 • No. 3 • June, 2019
Back to Top