Work

Suspension Bridge in Truncated Timoshenko-ehrenfest Theory With Fractional Laplacian Damping

Year: 2026

Type: article

Abstract: This manuscript focuses on a suspension bridge system where the deck is modeled by the Timoshenko-Ehrenfest theory free of the second frequency spectrum. The existence and uniqueness of weak and strong solutions are proved by the Faedo-Galerkin method. The exponential decay is obtained without any restrictions on the coefficients of the system. The energy method is used for exponential stability, which consists of constructing a Lyapunov functional using suitable multipliers.

Source: Journal of Mathematical Sciences

DOI: 10.1007/s10958-026-08369-4

Authors: Carlos Alberto Raposo, Isaac Elishakoff, Luiz Gutemberg

Institutions: Universidade Federal do Pará, Florida Atlantic University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funder: Universidade Federal do Pará