Bounded solutions for fractional order differential equations on the half-line. (English) Zbl 1314.34015
Summary: We provide in this paper sufficient conditions for the existence of bounded solutions for a class of initial value problem on the half-line for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the derivative, using the Schauder fixed point theorem combined with the diagonalization process.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 34C11 | Growth and boundedness of solutions to ordinary differential equations |
