TY - JOUR AU - El-Deeb, A. A. AU - Cheung, Wing-Sum PY - 2018 TI - A variety of dynamic inequalities on time scales with retardation JO - Journal of Nonlinear Sciences and Applications SP - 1185--1206 VL - 11 IS - 10 AB - In this paper, we will prove some new nonlinear retarded dynamic inequalities of Gronwall-Bellman type on time scales. These inequalities are of new forms compared with the existing results so far in the literature, which can be used as effective tools in the study of certain nonlinear retarded dynamic equations. Some special cases of our results contain continuous Gronwall-type inequalities and their discrete analogues. We also indicate some application examples to illustrate our results at the end. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.10.07 DO - 10.22436/jnsa.011.10.07 ID - El-Deeb2018 ER - TY - JOUR TI - On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations AU - A. 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