论文标题
Prabhakar型线性微分方程，具有可变系数
Prabhakar-type linear differential equations with variable coefficients
论文作者
论文摘要
线性微分方程具有可变系数和具有Mittag-Leffler内核的Prabhakar型操作员。在每种情况下，唯一的解决方案都被明确构造为涉及prabhakar分数积分组成的无收敛无限序列。我们还将这些结果扩展到Prabhakar运营商方面的功能。作为一个重要的说明性示例，我们考虑了恒定系数的情况，并使用多元Mittag-Leffler函数以更封闭的形式提供解决方案。
Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed explicitly as a convergent infinite series involving compositions of Prabhakar fractional integrals. We also extend these results to Prabhakar operators with respect to functions. As an important illustrative example, we consider the case of constant coefficients, and give the solutions in a more closed form by using multivariate Mittag-Leffler functions.
