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首页> 外文期刊>International Journal of Difference Equations >Sequential Caputo versus Nonsequential Caputo Fractional Initial and Boundary Value Problems
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Sequential Caputo versus Nonsequential Caputo Fractional Initial and Boundary Value Problems

机译：顺序Caputo与非顺序Caputo分数初始和边值问题

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This is a survey article on the authors’ work on a sequential fractional differential equation with initial conditions and boundary conditions.It is known that the dynamic equation of the integer order derivatives are always sequential.In the literature, the majority of the work done on Caputo fractional differential equations, the order of the fractional derivative is seldom studied as sequential.In the Caputo differential equation of order q, when 0 < q < 1, we can show how the value of q can be chosen to improve the model from the data.For a nonsequential Caputo differential equation the basis solution is that of the corresponding integer order.In this work, we demonstrate that for sequential Caputo differential equation, the basis solution depends on q.In short, the initial and boundary conditions also depends on the value of q.Thus the value of q can be used as a parameter when we are comparing its solution with the corresponding integer order differential equation.The advantage of using the Caputo fractional derivative is that it is global in nature.
机译：这是关于作者对具有初始条件和边界条件的顺序分数微分方程的调查文章。众所周知，整数阶数的动态方程总是顺序。在文献中，大多数工作完成了Caputo分数微分方程，分数导数的顺序很少地研究顺序。顺序Q的Caputo微分方程Q，当0

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