论文标题
使用分数伪内顿法解决了与不确定性下的投资有关的非线性系统
A nonlinear system related to investment under uncertainty solved using the fractional pseudo-Newton method
论文作者
论文摘要
两个变量的非线性代数方程系统是数值求解的,该方程是从四个变量的非线性代数方程系统得出的,该方程是四个变量的,该方程对应于与不确定性条件下与投资相关的数学模型。不确定性情景下的投资理论提出了一个模型,以确定生产者何时必须扩展或关闭,具体取决于其收入。上面提到的系统是使用分数迭代方法解决的,该方法对一个和几个变量有效,该方法使用了分数计算的属性,特别是,常数的分数衍生物并不总是零,可以找到非线性系统的解决方案。
A nonlinear algebraic equation system of two variables is numerically solved, which is derived from a nonlinear algebraic equation system of four variables, that corresponds to a mathematical model related to investment under conditions of uncertainty. The theory of investment under uncertainty scenarios proposes a model to determine when a producer must expand or close, depending on his income. The system mentioned above is solved using a fractional iterative method, valid for one and several variables, that uses the properties of fractional calculus, in particular the fact that the fractional derivatives of constants are not always zero, to find solutions of nonlinear systems.