On a two-dimensional fractional thermoelastic system with nonlocal constraints describing a fractional Kirchhoff plate

Abstract

Abstract We show herein the existence and uniqueness of solutions for coupled fractional order partial differential equations modeling a thermoelastic fractional Kirchhoff plate model associated with initial, Dirichlet, and nonlocal boundary conditions involving fractional Caputo derivative. Some efficient results of existence and uniqueness are obtained by employing the energy inequality method.

Keywords

• Fractional system
• Nonlocal condition
• Existence and uniqueness
• Energy inequality
• Kirchhoff plate