NONLOCAL INITIAL VALUE PROBLEMS FOR FIRST ORDER FRACTIONAL DIFFERENTIAL EQUATIONS
NONLOCAL INITIAL VALUE PROBLEMS FOR FIRST ORDER FRACTIONAL DIFFERENTIAL EQUATIONS
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发表时间：
2011
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影响因子：
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通讯作者：
A. Boucherif;S. Ntouyas
中科院分区：
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作者：
A. Boucherif;S. Ntouyas
分数阶微积分(任意阶微积分)自然产生于力学、电学、化学、生物学、经济学、控制理论、信号与图像处理、聚合物流变学、热力学中的规律性变化、生物物理、血液流动现象、空气动力学、复杂介质的电动力学、粘弹性和阻尼性、控制理论、波传播、渗流、识别、实验数据拟合等多个应用科学与工程领域。分数阶常微分方程组已经引起了许多研究者的注意。有关分数阶微分方程的一些最新工作，请参见[1，2，3，9，10，15，16]和其中的参考文献。
Fractional calculus (differentiation and integration of arbitrary order) arise naturally in various areas of applied science and engineering such as mechanics, electricity, chemistry, biology, economics, control theory, signal and image processing, polymer rheology, regular variation in thermodynamics, biophysics, blood flow phenomena, aerodynamics, electro-dynamics of complex medium, viscoelasticity and damping, control theory, wave propagation, percolation, identification, fitting of experimental data, etc. [13, 17, 18, 19]. Differential equations of fractional order have attracted the attention of several researchers. For some recent work on fractional differential equations, see [1, 2, 3, 9, 10, 15, 16] and the references therein.