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Our contributions lie in three aspects: first, a necessary and sufficient condition on the existence of the solution for the DFGRNs is given by using the properties of the Riemann\u2013Liouville fractional derivative and Caputo\u2019s fractional derivative; second, the unique solution of the DFGRNs is proved under given initial function and certain condition; third, some novel sufficient conditions on finite-time stability of the DFGRNs are established by using a generalized Gronwall inequality and norm technique, and some conclusions on the finite-time stability of the DFGRNs with memory state-feedback controllers are reached, and those conditions and conclusions depend on the fractional order of the DFGRNs. One of the most interesting findings is that the \u201cestimated time\u201d of the finite-time stability is indeed related to the structured uncertainties, state-feedback controllers, time delays, and the fractional order of the system.<\/jats:p>","DOI":"10.1155\/2020\/2315272","type":"journal-article","created":{"date-parts":[[2020,8,31]],"date-time":"2020-08-31T23:30:39Z","timestamp":1598916639000},"page":"1-19","source":"Crossref","is-referenced-by-count":5,"title":["Finite-Time Stability of Fractional-Order Time-Varying Delays Gene Regulatory Networks with Structured Uncertainties and Controllers"],"prefix":"10.1155","volume":"2020","author":[{"given":"Zhaohua","family":"Wu","sequence":"first","affiliation":[{"name":"College of Information and Intelligence Science, Hunan Agricultural University, Changsha 410128, China"},{"name":"Hunan Engineering Research Center for Information Technology in Agriculture, Hunan Agricultural University, Changsha 410128, 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