Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6361
Abstract: The paper deals with the existence of a global solution of a singular one‐dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized frictional damping a(x)ut using the potential well theory. Furthermore,… read more here.
Keywords: system nonlinear; viscoelastic system; nonlinear source; term nonlocal ... See more keywords
Stability and convergence of multistep schemes for 1D and 2D fractional model with nonlinear source term
Sign Up to like & getrecommendations! Published in 2021 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.08.038
Abstract: Abstract Stable multistep schemes based on Caputo fractional derivative approximation are presented for solving 1D and 2D nonlinear fractional model arising from dielectric media. We approximate Caputo fractional derivatives in time with a multistep scheme… read more here.
Keywords: multistep schemes; multistep; fractional model; nonlinear source ... See more keywords