
doi: 10.3390/math5020031
In this paper, some nonlinear Gronwall–Bellman type inequalities are established. Then, the obtained results are applied to study the Hyers–Ulam stability of a fractional differential equation and the boundedness of solutions to an integral equation, respectively.
Hyers–Ulam stability, differential equation, nonlinear Gronwall–Bellman inequalities, integral equation, QA1-939, Inequalities for sums, series and integrals, Hyers-Ulam stability, Fractional ordinary differential equations, boundedness, Mathematics, nonlinear Gronwall-Bellman inequalities
Hyers–Ulam stability, differential equation, nonlinear Gronwall–Bellman inequalities, integral equation, QA1-939, Inequalities for sums, series and integrals, Hyers-Ulam stability, Fractional ordinary differential equations, boundedness, Mathematics, nonlinear Gronwall-Bellman inequalities
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