Nonexistence of solutions to Cauchy problems for fractional time semi-linear pseudo-hyperbolic systems

Abstract

We study Cauchy problems time fractional semi-linear pseudo-hyperbolic equations and systems. Using the method of nonlinear capacity, we show that there are no solutions for certain nonlinearities and initial data. Our work complements the work by Aliev and col. [1,6,7].

Keywords

• Semi-linear pseudo-hyperbolic equation
• non-existence of solutions
• non-linear capacity method