Impulsive fractional functional differential equations. (English) Zbl 1268.34152
Summary: A class of impulsive fractional functional differential equations is investigated. The first purpose is introducing a natural formula of solutions for impulsive fractional functional differential equations. The second purpose is establishing related new existence, uniqueness and data dependence results. Examples are given to illustrate the results.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34A08 | Fractional ordinary differential equations |
| 34K45 | Functional-differential equations with impulses |
Keywords:
fractional functional differential equation; impulse; existence; uniqueness; data dependenceReferences:
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