Study on the estimates of Gronwall–Ou-Iang dynamic integral inequalities by means of diamond- α derivatives

[摘要] By the utilization of diamond-α derivatives, certain new generalizations of Ou-Iang type of dynamic integral inequalities of one independent variable on time scales are examined. The resulting inequalities are significant in the study of various fields of dynamic equations. A few mathematical applications are also presented.

[学科分类] 航空航天科学

[关键词] Dynamic inequalities;Time scales;Nabla differentiation;Nabla integration;Diamond;α differentiation;Diamond;α integration