Asymptotic behavior of solution and non-existence of global solution to a class of conformable time-fractional stochastic equation

Erkan Nane, Eze R. Nwaeze, McSylvester Ejighikeme Omaba

Consider the following class of conformable time-fractional stochastic equation $$T_{\alpha ,t}^{a}u(x,t)=\lambda \sigma (u(x,t)){\dot{W}}_t,x\in \mathbb{R},t\in [a,\infty ),0<\alpha <1,$$ with a…