In this paper, we obtain new sufficient conditions of the existence mild solutions for Hilfer fractional evolution equations in cases that semigroup associated with an almost sectorial operator is compact as well noncompact. Our results improve and extend some recent references.

In this report we investigate the continuous dependence with respect to the initial data of the solutions for the 1D and 1.5D relativistic Vlasov-Maxwell system. More precisely we prove that these solutions propagate with finite speed. We formulate our results in the framework of mild solutions, i.e., the particle densities are solutions by characteristics and the electro-magnetic fields are Li...