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

2020/03/05 by Nazım I. Mahmudov, Mahmudov, Nazim I.
Computer Science · Mathematics · #34K37 (26A33 34A12) #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Wireless Communication Networks Research

paper · pdf · doi:10.48550/arxiv.2003.02677

openalex publication_date 2020/03/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We propose a delayed Mittag-Leffler type matrix function with logarithm,\nwhich is an extension of the classical Mittag-Leffler type matrix function with\nlogarithm and delayed Mittag-Leffler type matrix function. With the help of the\ndelayed Mittag-Leffler type matrix function with logarithm, we give an explicit\nform a of solutions to nonhomogeneous Hadamard type fractional time-delay\nlinear differential equations. Moreover, we study existence uniqueness and\nstability in Ulam-Hyers sense of the Hadamard type fractional time-delay\nnonlinear equations.\n

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