Some new Gronwall-type inequalities arising in the research of fractional differential equations

DOI10.1186/1029-242X-2013-429zbMath1296.26054OpenAlexW2152229595WikidataQ59300750 ScholiaQ59300750MaRDI QIDQ2017026

Qinghua Feng, Fan Wei Meng

Publication date: 25 June 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-429

zbMATH Keywords

quantitative analysisfractional differential equationqualitative analysisGronwall-type inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

A new class of nonlinear Gronwall-Bellman delay integral inequalities with power and its applications ⋮ Some generalized Gronwall-Bellman-Bihari type integral inequalities with application to fractional stochastic differential equation ⋮ Some new Gronwall-Bellman-Bihari type integral inequality associated with \(\psi\)-Hilfer fractional derivative ⋮ Some new Gamidov type integral inequalities associated with \(\psi \)-fractional operators ⋮ Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications ⋮ Monotonicity, concavity, and inequalities related to the generalized digamma function ⋮ New results for generalized Gronwall inequalities and their applications ⋮ Some new generalized retarded Gronwall-like inequalities and their applications in nonlinear systems ⋮ Some new weakly singular integral inequalities and their applications to fractional differential equations ⋮ Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs

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