Controllability of impulsive fractional differential equations with infinite delay. (English) Zbl 1336.34107
Summary: Using fractional calculus theory and Krasnoselskii’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional differential equations with infinite delay. An example is provided to illustrate the theory.
MSC:
| 34K35 | Control problems for functional-differential equations |
| 34K09 | Functional-differential inclusions |
| 34K30 | Functional-differential equations in abstract spaces |
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K45 | Functional-differential equations with impulses |
| 93B05 | Controllability |
| 47N20 | Applications of operator theory to differential and integral equations |
