Some new weakly singular nonlinear integral inequalities and their application

DOI10.1216/jie.2021.33.477zbMath1498.26060OpenAlexW4225992599MaRDI QIDQ2146571

Run Xu, Yaoyao Luo

Publication date: 16 June 2022

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2021.33.477

zbMATH Keywords

integral inequalitiesexplicit boundsweakly singular

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• Geometric theory of semilinear parabolic equations
• On some generalizations o f Bellman's lemma
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• New results for generalized Gronwall inequalities and their applications
• Some nonlinear Gronwall-Bellman type retarded integral inequalities with power and their applications
• Explicit bounds on some new nonlinear integral inequalities with delay
• Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations
• Some new nonlinear weakly singular integral inequalities and their applications
• Some new weakly singular integral inequalities and their applications to fractional differential equations

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