Some nonlinear Gronwall-Bellman-Gamidov integral inequalities and their weakly singular analogues with applications
Summary: Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations. An example is presented to show the application for the qualitative study of solutions of a fractional integral equation with the Riemann-Liouville fractional operator.
scientific article; zbMATH DE number 7022612
scientific article