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Exact Solutions of Fractional-Order Biological Population Model 被引量:13
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作者 a.m.a.el-sayed S.Z.Rida A.a.m.Arafa 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第12期992-996,共5页
In this paper, the Adomian's decomposition method (ADM) is presented for finding the exact solutions of a more general biological population models. A new solution is constructed in power series. The fractional der... In this paper, the Adomian's decomposition method (ADM) is presented for finding the exact solutions of a more general biological population models. A new solution is constructed in power series. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method, some examples are provided. 展开更多
关键词 biological populations model fractional Calculus decomposition method Mittag-Leffier function
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A COUPLED SYSTEM OF INTEGRAL EQUATIONS IN REFLEXIVE BANACH SPACES
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作者 a.m.a.el-sayed H.H.G.Hashem 《Acta Mathematica Scientia》 SCIE CSCD 2012年第5期2021-2028,共8页
We present an existence theorem for at least one weak solution for a coupled system of integral equations of Volterra type in a reflexive Banach spaces relative to the weak topology.
关键词 weak solution Volterra integral equation coupled system
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