A \(q\)-Gronwall inequality and its application to fractional \(q\)-differential equations. (Chinese. English summary) Zbl 1363.34011
Summary: We present a generalized \(q\)-Gronwall inequality. By using this inequality, the dependence of the solutions for the Riemann-Liouville and the Caputo fractional \(q\)-differential equations on the order and the initial conditions are discussed.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
