(Δ backward difference ) backward difference -Pachpatte Dynamic Inequalities Associated with Leibniz Integral Rule on Time Scales with Applications

被引：2
|
作者：
El-Deeb, Ahmed A. [1 ]
Baleanu, Dumitru [2 ,3 ]
Awrejcewicz, Jan [4 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
[2] Inst Space Sci, Magurele 077125, Romania
[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[4] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowski St, PL-90924 Lodz, Poland
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 09期
关键词：
Gronwall's inequality; dynamic inequality; time scales; Leibniz integral rule on time scales; 2 INDEPENDENT VARIABLES; STEFFENSEN-TYPE;
D O I：
10.3390/sym14091867
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We prove some new dynamic inequalities of the Gronwall-Bellman-Pachpatte type on time scales. Our results can be used in analyses as useful tools for some types of partial dynamic equations on time scales and in their applications in environmental phenomena and physical and engineering sciences that are described by partial differential equations.
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页数：15
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