| AUTHOR(S): K. Boukerrioua, D. Diabi, B. Kilani 
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| 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 | 
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| 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 | 
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