New Explicit Bounds on Gronwall-Bellman-Bihari-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications

DOI10.46793/KgJMat2004.603MOpenAlexW3106716748MaRDI QIDQ5881387

Mohammed El Amine Mekki, Khaled Boukerrioua, Brahim Kilani, Mohamed Lamine Sahari

Publication date: 9 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/62/11_eng.html

zbMATH Keywords

integral inequalityexplicit boundsweakly singular inequalityBihari-Gamidov inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)

Related Items (1)

Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications

Cites Work

• Bounds on some new weakly singular Wendroff-type integral inequalities and applications
• Some nonlinear weakly singular integral inequalities with two variables and applications
• Nonlinear singular integral inequalities for functions in two and \(n\) independent variables
• Integral inequalities and global solutions of semilinear evolution equations
• Some nonlinear Gronwall-Bellman-Gamidov integral inequalities and their weakly singular analogues with applications
• Gronwall-Bellman type inequalities and their applications to fractional differential equations
• Explicit bounds on some new nonlinear integral inequalities with delay
• New explicit bounds on Gamidov type integral inequalities on time scales and applications
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