论文标题
HADAMARD类型分数时间延迟半线性微分方程：延迟的Mittag-Leffler函数方法
Hadamard type fractional time-delay semilinear differential equations: Delayed Mittag-Leffler function approach
论文作者
论文摘要
我们建议使用对数延迟的Mittag-Leffler类型矩阵函数，该矩阵函数是带有对数的经典Mittag-Leffler类型矩阵函数的扩展，并延迟了Mittag-Leffler类型矩阵函数。借助对数延迟的Mittag-Leffler型矩阵函数，我们为非均匀HADAMARD类型分数分数线性线性方程式提供了明确的解决方案。此外，我们研究了Hadamard型分数时间延迟非线性方程的Ulam-Hyers中的存在唯一性和稳定性。
We propose a delayed Mittag-Leffler type matrix function with logarithm, which is an extension of the classical Mittag-Leffler type matrix function with logarithm and delayed Mittag-Leffler type matrix function. With the help of the delayed Mittag-Leffler type matrix function with logarithm, we give an explicit form a of solutions to nonhomogeneous Hadamard type fractional time-delay linear differential equations. Moreover, we study existence uniqueness and stability in Ulam-Hyers sense of the Hadamard type fractional time-delay nonlinear equations.
