On the blowing-up of solutions for a system governed by nonlinear mixed-type fractional differential equations

Abstract

In this work, we will discuss the existence of sufficient conditions on the parameters with positive initial datas to establish the finite time blow-up of solutions for a system of nonlinear fractional differential equations when we use the test functions method together with some general notions of functional analysis. Our work aims to find new results and generalizes some results previously found in this direction.