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| Solvability for a Class of Logarithmic Type Initial Conditions of Hadamard Fractional Differential System on an Infinite Interval |
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| KeyWord:Solvability, Hadamard fractional differential system, logarithmic type initial conditions, infinite interval |
| Author Name | Affiliation | | Chengbo Zhai | School of Mathematics and Statistics, Shanxi University, Taiyuan 030006, Shanxi, China
Key Laboratory of Complex Systems and Data Science of Ministry of Education, Shanxi University, Taiyuan 030006, Shanxi, China | | Liting Bai | School of Mathematics and Statistics, Shanxi University, Taiyuan 030006, Shanxi, China |
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| Abstract: |
| This paper investigates a class of Hadamard fractional differential system involving logarithmic type initial conditions on an infinite interval. Based on some obtained properties of the Green's functions, Schauder fixed point theorem and Banach contraction mapping principle, we establish the existence and uniqueness results for the system. Finally, we illustrate examples which show our main results. |
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