Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay

• Published in: AIMS mathematics Vol. 8; no. 8; pp. 17890 - 17913
• Main Authors: Choucha, Abdelbaki, Alharbi, Asma, Cherif, Bahri, Jan, Rashid, Boulaaras, Salah
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: bresse system; cattaneo's law; decay rate; distributed delay; fourier transform; mathematical operators; partial differential equations

This study examines the pace at which solutions to a Bresse system in combination with the Cattaneo law of heat conduction and the dispersed delay term degradation. We establish our major finding utilizing the energy approach in the Fourier space.