Bounds on some new weakly singular Wendroff-type integral inequalities and applications. (English) Zbl 1284.26024
Summary: With a more concise condition for the ordered parameter groups, some nonlinear weakly singular integral inequalities of Wendroff type are established, which generalize some existing results. Furthermore, application examples with respect to boundedness and uniqueness of the solution of a singular partial integral equation are given.
MSC:
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 34A08 | Fractional ordinary differential equations |
| 34A34 | Nonlinear ordinary differential equations and systems |
| 45J05 | Integro-ordinary differential equations |
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