On the stability result of swelling porous-elastic soils with infinite memory

Abstract

This paper aims to establish a general stability result for a one-dimensional linear swelling porous-elastic system with infinite memory, irrespective of the wave speeds of the system. The proof is based on the multiplier method and some properties of convex functions. The kernel in our memory term is more general and of a broader class. Our output extends and improves some of the available results on swelling porous media in the literature.

Keywords:

• Swelling porous
• infinite memory
• general decay
• convex functions

AMS Subject Classifications:

• 93D20
• 35B40

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors thank King Fahd University of Petroleum and Minerals (KFUPM) and the University of Hafr Al Batin (UHB) for their continuous support. The authors also thank the referee for the valuable comments. This work is funded by KFUPM [grant number SB201005].