integral inequalities
of gronwall-bellman-bihari type
and their applications">

Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 15 (2020), 233 -- 255

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This work is licensed under a Creative Commons Attribution 4.0 International License.

REFINEMENTS OF SOME RETARDED INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN-BIHARI TYPE AND THEIR APPLICATIONS

Khaled Boukerrioua, Brahim Kilani and Imen Meziri

Abstract. In this study, some generalizations and refinements of some retarded integral inequalities of Gronwall-Bellman-Bihari type are established. To show the feasibility of the obtained inequalities, some illustrative examples are also introduced.

2020 Mathematics Subject Classification: 39B72, 26D10, 34A34.
Keywords: Retarded integral inequality, Gronwall-Bellman-Bihari, integral inequality.

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Khaled Boukerrioua
Lanos Laboratory,
Faculty of Sciences, Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, Algeria.
e-mail: khaledv2004@yahoo.fr

Brahim Kilani
Faculty of Sciences, Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, Algeria.
e-mail: kilbra2000@yahoo.fr

Imen Meziri
Lanos Laboratory,
Faculty of Sciences, Badji Mokhtar-Annaba University,
P.O Box 12, 23000 Annaba, Algeria.
e-mail: meziri-imen91@hotmail.fr

http://www.utgjiu.ro/math/sma