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In this paper, we investigate a nonlinear weakly singular integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by the definitions and rules of conformable fractional differential and conformable fractional integration, the techniques of change of variable, and the method of amplification. The derived results can be applied in the study of qualitative properties of solutions of conformable fractional integral equations. Keywords-weakly singular integral inequalities; conformable fractional integral; conformable fractional differential; analysis technique; explicit bound

Estimation of Unknown Function of a Class of Nonlinear Weakly Singular Integral Inequality