Refinements of some 2D nonlinear integral inequalities and applications in fractional integral equations

K. Boukerrioua; D. Diabi; B. Kilani

doi:10.26637/MJM0801/0014

Abstract

In this study, some refinements of some nonlinear integral inequalities with weakly singular kernels for functions in two independent variables are established.The obtained results extend some results known in the literature. The paper ends up with two illustrative examples to highlight the utility of our results.

Keywords:

Weakly singular kernel, integral equation, Wendroff inequality, Gronwell-Bihari inequality

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

K. Boukerrioua University of Badji-Mokhtar, Annaba, Algeria
D. Diabi University of Badji-Mokhtar, Annaba, Algeria
B. Kilani University of Badji-Mokhtar, Annaba, Algeria.

Pages: 74-81
Date Published: 01-01-2020
Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

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