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The factors of such network systems including the distributed delays, impulsive effects, and two different fractional-order derivatives between the <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>U<\/mml:mi><\/mml:mrow><\/mml:math>-layer and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>V<\/mml:mi><\/mml:mrow><\/mml:math>-layer are taken into account synchronously. Based on the contraction mapping principle, the sufficient conditions are derived to ensure the existence and uniqueness of the equilibrium solution for such network systems. By constructing a novel Lyapunov functional composed of fractional integral and definite integral terms, the globally asymptotic stability criteria of the equilibrium solution are obtained, which are dependent on the order of fractional derivative and network parameters. The advantage of our constructed method is that one may directly calculate integer-order derivative of the Lyapunov functional. A numerical example is also presented to show the validity and feasibility of the theoretical results.<\/jats:p>","DOI":"10.1155\/2017\/6875874","type":"journal-article","created":{"date-parts":[[2017,9,13]],"date-time":"2017-09-13T17:00:39Z","timestamp":1505322039000},"page":"1-13","source":"Crossref","is-referenced-by-count":14,"title":["Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses"],"prefix":"10.1155","volume":"2017","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7183-9570","authenticated-orcid":true,"given":"Hai","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Computation Science, Anqing Normal University, Anqing 246133, 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