Fractional oscillon equations; solvability and connection with classical oscillon equations
Fractional oscillon equations; solvability and connection with classical oscillon equations
<p style='text-indent:20px;'>In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation <p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ u_{tt}-\mu(t)\Delta u+\omega(t)u_t = f(u),\ x\in\Omega,\ t\in{\mathbb{R}}, $\end{document} </tex-math></disp-formula> <p style='text-indent:20px;'>subject to Dirichlet boundary condition on <inline-formula><tex-math id="M1">\begin{document}$ \partial \Omega $\end{document}</tex-math></inline-formula>, where <inline-formula><tex-math id="M2">\begin{document}$ \Omega $\end{document}</tex-math></inline-formula> is …