论文标题
涉及三参数米塔格 - leffler函数的分数积分运算符的属性,相对于另一个函数
Properties of fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to another function
论文作者
论文摘要
本文旨在研究与涉及三参数米塔格 - leffler函数的分数积分运算符相关的属性,相对于另一个函数。我们证明了凯奇问题和伏特拉积分方程是等效的。我们使用连续的近似方法和$ψ$ -Caputo分数衍生物找到了凯奇问题解决方案的封闭形式。
This paper aims to investigate properties associated with fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to another function. We prove that the Cauchy problem and the Volterra integral equation are equivalent. We find a closed-form to the solution of the Cauchy problem using successive approximations method and $ψ$-Caputo fractional derivative.