Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems

DOI10.1016/j.camwa.2011.04.008zbMath1222.26029OpenAlexW1999806740MaRDI QIDQ640528

Qing-Hua Ma, Jian-Mei Zhang, Josip E. Pečarić

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.008

zbMATH Keywords

uniquenessintegral inequalitycontinuous dependencecomponent-wise priori boundsfractional order differential systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Fractional ordinary differential equations (34A08)

Related Items (13)

Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative ⋮ On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations ⋮ On the asymptotic behavior of positive solutions of certain fractional differential equations ⋮ Asymptotic behavior of certain integrodifferential equations ⋮ On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms ⋮ On the oscillatory behavior of solutions of nonlinear fractional differential equations ⋮ On the boundedness of nonoscillatory solutions of certain fractional differential equations with positive and negative terms ⋮ On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations ⋮ OSCILLATION BEHAVIOR OF SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION ⋮ ASYMPTOTIC INTEGRATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRODIFFERENTIAL RIGHT-HAND SIDE ⋮ ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN INTEGRO-DIFFERENTIAL EQUATIONS ⋮ On the asymptotic behavior of positive solutions of certain integral equations ⋮ Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs

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