Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations |
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| Authors: | Qing-Hua Ma Josip Pe?ari? |
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| Affiliation: | a Faculty of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China
b Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia |
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| Abstract: | Some new weakly singular integral inequalities of Gronwall-Bellman type are established, which generalized some known weakly singular inequalities and can be used in the analysis of various problems in the theory of certain classes of differential equations, integral equations and evolution equations. Some applications to fractional differential and integral equations are also indicated. |
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| Keywords: | Integral inequality Weakly singular Boundedness Fractional differential and integral equations |
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