Geodesic
New Explicit Bounds on Gronwall-Bellman-Bihari-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 603

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In this paper we derive some generalizations of certain Gronwall-inebreak 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.
Classification : 26D10, 26D15, 26D20
Keywords: integral inequality, weakly singular inequality, explicit bounds, Bihari-Gamidov inequality 
@article{KJM_2020_44_4_a10,
     author = {M. Mekki and K. Boukerrioua and B. Kilani and M. L. Sahari},
     title = {New {Explicit} {Bounds} on {Gronwall-Bellman-Bihari-Gamidov} {Integral} {Inequalities} and {Their} {Weakly} {Singular} {Analogues} with {Applications}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {603 },
     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a10/}
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M. Mekki; K. Boukerrioua; B. Kilani; M. L. Sahari. New Explicit Bounds on Gronwall-Bellman-Bihari-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 603 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a10/