New Explicit Bounds on Gronwall-Bellman-Bihari-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications

M. Mekki, K. Boukerrioua, B. Kilani, M. L. Sahari

In this paper we derive some generalizations of certain Gronwall-inebreak Bellman-Bihari-Gamidov type integral inequalities and their weakly singular analogues, which provide explicit bounds on unknown functions. To show the feasibility of the obtained inequalities, two illustrative examples are also introduced.