(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.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Some Generalizations of ( backward difference backward difference )Δ-Gronwall-Bellman-Pachpatte Dynamic Inequalities on Time Scales with Application
    El-Deeb, Ahmed A.
    El-Bary, Alaa A.
    Awrejcewicz, Jan
    SYMMETRY-BASEL, 2022, 14 (09):
  • [2] Some Generalizations of Novel (Δ backward difference )Δ-Gronwall-Pachpatte Dynamic Inequalities on Time Scales with Applications
    El-Deeb, Ahmed A.
    Baleanu, Dumitru
    SYMMETRY-BASEL, 2022, 14 (09):
  • [3] On Some Dynamic (ΔΔ) backward difference - Gronwall-Bellman-Pachpatte-Type Inequalities on Time Scales and Its Applications
    El-Deeb, Ahmed A.
    El-Bary, Alaa A.
    Awrejcewicz, Jan
    SYMMETRY-BASEL, 2022, 14 (09):
  • [4] Important Study on the backward difference Dynamic Hardy-Hilbert-Type Inequalities on Time Scales with Applications
    El-Deeb, Ahmed A.
    Bazighifan, Omar
    Cesarano, Clemente
    SYMMETRY-BASEL, 2022, 14 (02):
  • [5] On some new double dynamic inequalities associated with Leibniz integral rule on time scales
    A. A. El-Deeb
    Saima Rashid
    Advances in Difference Equations, 2021
  • [6] On some new double dynamic inequalities associated with Leibniz integral rule on time scales
    El-Deeb, A. A.
    Rashid, Saima
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [7] Inventive dynamic inequalities of Pachpatte type on time scales and applications
    Bhamre, Sujata
    Kale, Nagesh
    Kendre, Subhash
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
  • [8] Δ-Gronwall-Bellman-Pachpatte Dynamic Inequalities and Their Applications on Time Scales
    El-Deeb, Ahmed A.
    Baleanu, Dumitru
    Awrejcewicz, Jan
    SYMMETRY-BASEL, 2022, 14 (09):
  • [9] Pachpatte's inequalities associated with power quantum difference operators
    Al-Ashwal, M. H.
    Ashour, S. A.
    Hamza, Alaa E.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (01): : 29 - 38
  • [10] SOME NEW PACHPATTE TYPE INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS
    Du, Liwei
    Xu, Run
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (02): : 229 - 240
12345