Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems

AbstractThis paper generalizes the results for the constructions of explicit bounds and the qualitative properties for the solutions of certain two-dimensional fractional differential systems established in a recent paper of the authors. The main generalizations come from an elementary inequality and by means of the modification of Medveď’s de-singular approach

On some qualitative properties for solutions of a certain two-dimensional fractional differential systems

AbstractBy means of the modification of Medveď’s de-singular method and a result of two-dimensional linear integral inequalities, components-wise (not on some norm) upper bounds are obtained for solutions of a class of nonlinear two-dimensional systems of fractional differential equations. The uniqueness and continuous dependence of the solutions are also discussed here