• Nonlinear Functional Analysis and Applications
• /
• v.27 no.3
• /
• pp.679-689
• /
• 2022

In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.