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http://dx.doi.org/10.5666/KMJ.2020.60.1.211

On Some Fractional Quadratic Integral Inequalities  

El-Sayed, Ahmed M.A. (Department of Mathematics and Computer Science, Faculty of Science, Alexandria University)
Hashem, Hind H.G. (Department of Mathematics, Faculty of Science, Qassim University)
Publication Information
Kyungpook Mathematical Journal / v.60, no.1, 2020 , pp. 211-222 More about this Journal
Abstract
Integral inequalities provide a very useful and handy tool for the study of qualitative as well as quantitative properties of solutions of differential and integral equations. The main object of this work is to generalize some integral inequalities of quadratic type not only for integer order but also for arbitrary (fractional) order. We also study some inequalities of Pachpatte type.
Keywords
fractional-order integral inequality; fractional quadratic integral equations; Bellman-Gronwall's inequality; inequality of Pachpatte type;
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