Existence and continuous dependence for fractional neutral functional differential equations. (English) Zbl 1385.34053
Summary: In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order by means of the Banach’s contraction principle and the Schauder’s fixed point theorem.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K40 | Neutral functional-differential equations |
| 34K05 | General theory of functional-differential equations |
| 47H10 | Fixed-point theorems |
Keywords:
fractional differential equations; functional differential equations; fractional derivative and fractional integral; existence and continuous dependence; fixed point theoremReferences:
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