Delay dynamic double integral inequalities on time scales with applications

Type: Article

Publication Date: 2020-01-20

Citations: 46

DOI: https://doi.org/10.1186/s13662-020-2516-3

Abstract

Abstract In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results. As applications, the boundedness for the solutions of delay dynamic integro-differential equations with initial conditions is discussed.

Locations

  • Advances in Difference Equations - View - PDF
  • DOAJ (DOAJ: Directory of Open Access Journals) - View

Similar Works

Action Title Year Authors
+ PDF Chat Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales 2018 Min Fan
Yazhou Tian
+ PDF Chat Some new dynamic Gronwall–Bellman–Pachpatte type inequalities with delay on time scales and certain applications 2022 Ahmed A. El‐Deeb
Dumitru Băleanu
+ PDF Chat Some New Delay Integral Inequalities in Two Independent Variables on Time Scales 2011 Bin Zheng
Yaoming Zhang
Qinghua Feng
+ PDF Chat Explicit Bounds to Some New Gronwall‐Bellman‐Type Delay Integral Inequalities in Two Independent Variables on Time Scales 2011 Fanwei Meng
Qinghua Feng
Bin Zheng
+ PDF Chat Some Delay Integral Inequalities on Time Scales and Their Applications in the Theory of Dynamic Equations 2012 Qinghua Feng
Fanwei Meng
Yaoming Zhang
Jinchuan Zhou
Bin Zheng
+ PDF Chat Δ–Gronwall–Bellman–Pachpatte Dynamic Inequalities and Their Applications on Time Scales 2022 Ahmed A. El‐Deeb
Dumitru Băleanu
Jan Awrejcewicz
+ New generalized delay integral inequalities on time scales 2011 Bin Zheng
+ A Class of Delay Integral Inequalities on Time Scales 2012 Qinghua Feng
+ Gronwall–Bellman type nonlinear delay integral inequalities on time scales 2011 Qinghua Feng
Fanwei Meng
Bin Zheng
+ Generalized Gronwall–Bellman-type delay dynamic inequalities on time scales and their applications 2012 Qinghua Feng
Bin Zheng
+ PDF Chat Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations 2011 Qinghua Feng
Fanwei Meng
Yaoming Zhang
Bin Zheng
Jinchuan Zhou
+ PDF Chat Some Generalizations of Novel (Δ∇)Δ–Gronwall–Pachpatte Dynamic Inequalities on Time Scales with Applications 2022 Ahmed A. El‐Deeb
Dumitru Băleanu
+ PDF Chat Bounds for some new integral inequalities with delay on time scales 2012 Tonglin Wang
Run Xu
+ Gronwall-Bellman type inequalities on time scales and their applications 2011 Qinghua Feng
Fanwei Meng
+ PDF Chat New retarded dynamic inequalities on time scales with applications 2022 Guotao Wang
Ahmed A. El-Deeb
H. A. El‐Sennary
+ Analysis of Boundedness for Unknown Functions by a Delay Integral Inequality on Time Scales 2012 Qinghua Feng
+ PDF Chat Some new generalized Gronwall-Bellman-type integral inequalities in two independent variables on time scales 2013 Yulu Wang
Qinghua Feng
Shixiang Zhou
Feng Xu
+ PDF Chat On some new double dynamic inequalities associated with Leibniz integral rule on time scales 2021 Ahmed A. El‐Deeb
Saima Rashid
+ PDF Chat Bounds for Certain Delay Integral Inequalities on Time Scales 2008 Wei Nian Li
+ Some linear and nonlinear integral inequalities on time scales in two independent variables 2008 Rui A. C. Ferreira
Delfim F. M. Torres

Works That Cite This (45)

Action Title Year Authors
+ PDF Chat On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus 2020 Saima Rashid
Aasma Khalid
Gauhar Rahman
Kottakkaran Sooppy Nisar
Yu‐Ming Chu
+ Inequalities for the generalized weighted mean values of g-convex functions with applications 2020 Mingbao Sun
Yu‐Ming Chu
+ PDF Chat Bounds for the Remainder in Simpson’s Inequality via<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>n</mml:mi></mml:math>-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals 2020 Yu‐Ming Chu
Muhammad Uzair Awan
Muhammad Zakria Javad
Awais Gul Khan
+ PDF Chat On New Unified Bounds for a Family of Functions via Fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>q</mml:mi></mml:math>-Calculus Theory 2020 Li Xu
Yu‐Ming Chu
Saima Rashid
Ahmed A. El‐Deeb
Kottakkaran Sooppy Nisar
+ PDF Chat On Generalizations of Hölder's and Minkowski's Inequalities 2023 U.S. Kirmaci
+ PDF Chat New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions 2020 Muhammad Uzair Awan
Nousheen Akhtar
Sabah Iftikhar
Muhammad Aslam Noor
Yu‐Ming Chu
+ PDF Chat On new fractional integral inequalities for p-convexity within interval-valued functions 2020 Thabet Abdeljawad
Saima Rashid
Hasib Khan
Yu‐Ming Chu
+ PDF Chat A necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder mean 2020 Hong-Hu Chu
Wei Wang
+ PDF Chat Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function 2020 Guo-Jing Hai
Tie‐Hong Zhao
+ Grüss-type integrals inequalities via generalized proportional fractional operators 2020 Saima Rashid
Fahd Jarad
Muhammad Aslam Noor