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arXiv · 2003.02677

Hadamard type fractional time-delay semilinear differential equations: Delayed Mittag-Leffler function approach

Nazim I. Mahmudov
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Abstract

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.

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Nazim I. Mahmudov. 2020-03-05. Hadamard type fractional time-delay semilinear differential equations: Delayed Mittag-Leffler function approach. https://arxiv.org/abs/2003.02677

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