Hongling Fan, Bin Zheng, "Some New Generalized Gronwall-Bellman Type Inequalities Arising In The Theory Of Fractional Differential-integro Equations," WSEAS Transactions on Mathematics, vol. 13, pp. 820-829, 2014, DOI:
Hongling Fan, Bin Zheng. Some New Generalized Gronwall-Bellman Type Inequalities Arising In The Theory Of Fractional Differential-integro Equations.
WSEAS Transactions on Mathematics. 2014;13:820-829.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Some New Generalized Gronwall-Bellman Type Inequalities Arising In The Theory Of Fractional Differential-integro Equations
Authors: ,
Abstract: In this paper, motivated by the research on qualitative properties of solutions for fractional differential-integro equations, some new Gronwall-Bellman type inequalities in two independent variables are established. Based on these inequalities, explicit bounds for unknown functions concerned are derived. As for applications, we apply the inequalities established to research boundedness, uniqueness, and continuous dependence on the initial value and parameter for the solution to a certain fractional differential-integro equation.
Keywords:
Gronwall-Bellman type inequality, Fractional differential-integro equation, Boundedness, Qualitative analysis
Pages: 820-829 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #80 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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