Inequalities for Integro-differential equations involving derivatives of order between zero and two

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摘要

We obtain bounds for integro-differential inequalities involving derivatives of orders between 0 and 2. We give applications and examples demonstrating the use of these bounds in analyzing the existence and asymptotic behavior of solutions for a class of singular fractional differential equations.

论文关键词:Bihari inequality,Fractional differential equations,Riemann-Liouville integral,Cauchy-type problem,singular differential equations

论文评审过程:Available online 27 July 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.06.079