On nonexistence of solutions to some time space fractional evolution equations with transformed space argument

Abstract

Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a [Formula: see text] system of equations with transformed space arguments.

Keywords

• Nonlinear evolution equations
• nonexistence of solutions
• space transformed argument
• Caputo fractional derivative
• fractional Laplacian