Neutral delay Hilfer fractional integrodifferential equations with fractional Brownian motion. (English) Zbl 1490.93013
Summary: In this paper, we study the existence and uniqueness of mild solutions for neutral delay Hilfer fractional integrodifferential equations with fractional Brownian motion. Sufficient conditions for controllability of neutral delay Hilfer fractional differential equations with fractional Brownian motion are established. The required results are obtained based on the fixed point theorem combined with the semigroup theory, fractional calculus and stochastic analysis. Finally, an example is given to illustrate the obtained results.
MSC:
| 93B05 | Controllability |
| 34K37 | Functional-differential equations with fractional derivatives |
| 45J05 | Integro-ordinary differential equations |
| 60G22 | Fractional processes, including fractional Brownian motion |
Keywords:
neutral delay integrodifferential equations; Hilfer fractional derivative; existence of solutions; controllabilityReferences:
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