In this paper, we derive some generalizations of certain Gronwall-Bihari with weakly singular kernels for functions in one variable, which provide explicit bounds on unknown functions.To show the feasibility of the obtained inequalities, two illustrative examples are also introduced.
Gronwall-type inequality, fractional differential equation, qualitative analysis, quantitative analysis; mean value Theorem, Fractional Derivative, Riemann-Liouville
Cite this paper
K. Boukerrioua, D. Diabi, B. Kilani. (2020) Some New Gronwall-bihari Type Inequalities and Its Application in the Analysis for Solutions to Fractional Differential Equations. International Journal of Mathematical and Computational Methods, 5, 60-68
Copyright © 2020 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0