Boundary value problems for fractional order Bagley-Torvik models with impulse effects. (Chinese. English summary) Zbl 1424.34033
Summary: The author converts the boundary value problem for impulsive fractional order Bagley-Torvik differential equation to an integral equation (a new method). By defining a weighted function Banach space and a completely continuous operator, some existence results for solutions are established. This analysis relies on the well known Schauder’s fixed point theorem. Examples are given to illustrate the main results.
MSC:
34A08 | Fractional ordinary differential equations |
34B37 | Boundary value problems with impulses for ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
47N20 | Applications of operator theory to differential and integral equations |