General energy decay estimate for a viscoelastic damped swelling porous elastic soils with time delay-Reference-Cited by-同舟云学术

General energy decay estimate for a viscoelastic damped swelling porous elastic soils with time delay

Published:2023-03-22 Issue:12 Volume:46 Page:12914-12929
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Yüksekkaya Hazal¹^ORCID,Piskin Erhan¹^ORCID,Kafini Mohammad M.²³^ORCID,Al‐Mahdi Adel M.³⁴^ORCID

Affiliation:

1. Department of Mathematics Dicle University Diyarbakır Turkey

2. Department of Mathematics King Fahd University of Petroleum and Minerals Dhahran 31261 Saudi Arabia

3. The Preparatory Year Program King Fahd University of Petroleum and Minerals Dhahran 31261 Saudi Arabia

4. The Interdisciplinary Research Center in Construction and Building Materials King Fahd University of Petroleum and Minerals Dhahran 31261 Saudi Arabia

Abstract

This paper is concerned with the viscoelastic damped swelling porous elastic soils with time delay. Under more general assumption on the relaxation function and some specific conditions on the weight of the delay, we establish general decay results by using multiplier method and some properties of convex functions. These results generalize and improve some earlier related results in the literature.

Funder

King Fahd University of Petroleum and Minerals

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9222

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