The method of upper and lower solutions for initial value problem of Caputo fractional differential equations with variable moments of impulse. (English) Zbl 1362.34013
Summary: In this paper sufficient conditions for the existence of a solution for the initial value problem of Caputo fractional differential equations of order \(q\), \(0<q<1\), with variable moments of impulse using the method of upper and lower solutions are established under the weakened hypothesis of \(C^q\) continuity.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 34A37 | Ordinary differential equations with impulses |
| 34K07 | Theoretical approximation of solutions to functional-differential equations |
