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


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Authors: M. MEKKI, K. BOUKERRIOUA, B. KILANI AND M. L. SAHARI

DOI: 10.46793/KgJMat2004.603M

Abstract:

In this paper we derive some generalizations of certain Gronwall- Bellman-Bihari-Gamidov type integral inequalities and their weakly singular analogues, which provide explicit bounds on unknown functions. To show the feasibility of the obtained inequalities, two illustrative examples are also introduced.

Keywords:

Integral inequality, weakly Singular inequality, explicit bounds, Bihari-Gamidov inequality.

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