Existence and finite speed of propagation of solutions for a multidimensional fractional thin-film equation

Key Points

• Solutions exist for the multidimensional fractional thin-film equation, indicating a reliable mathematical model.
• The study highlights the finite speed of propagation for these solutions across multidimensional spaces.
• Through mathematical analysis, the properties of solutions reveal important implications for fluid dynamics applications.
• Addressing the existence and behavior of these solutions calls for further exploration of their real-world modeling capabilities.