TITLE

Some New Gronwall-bihari Type Inequalities and Its Applications in the Analysis for Solutions to Fractional Differential Equations

pdf PDF

ABSTRACT

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.

KEYWORDS

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

 

cc.png
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