On some qualitative properties for solutions of a certain two-dimensional fractional differential systems

DOI10.1016/j.camwa.2009.07.008zbMath1189.34016OpenAlexW2029696889MaRDI QIDQ980236

Qing-Hua Ma, Josip E. Pečarić

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.008

zbMATH Keywords

differential equationsintegral inequalityfractional ordercontinuous dependencecomponents-wisepriori bounds uniqueness

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (6)

Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative ⋮ An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells ⋮ The existence of positive solutions of singular fractional boundary value problems ⋮ Some properties for solutions of Riemann-Liouville fractional differential systems with a delay ⋮ Limit properties of positive solutions of fractional boundary value problems ⋮ Study on some qualitative properties for solutions of a certain two-dimensional fractional differential system with Hadamard derivative

Cites Work

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• A generalized Gronwall inequality and its application to a fractional differential equation
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• Some new Gronwall-Bellman-Bihari type integral inequalities with delay
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
• Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations
• Power-type estimates for a nonlinear fractional differential equation

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