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In this paper, we study some new Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs, which provide explicit bounds on unknown functions. These inequalities generalize and extend some known inequalities and can be used as effective tools in the qualitative theory of certain classes of partial dynamic equations on time scales. Finally, an example is provided to illustrate the usefulness of our result.

Some generalized Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs