Affiliations: [a] Faculty of Applied Sciences, University of Technology and Education, Ho Chi Minh City, Vietnam
| [b] Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Vietnam
| [c] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
| [d] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Correspondence:
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Corresponding author. Ngo Van Hoa, Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: ngovanhoa@tdtu.edu.vn.
Abstract: In this paper, the existence and uniqueness results of solution for an initial value problem of fractional differential equations with the Caputo-Hadamard concept of fractional derivative in the case of the order α ∈ (1, 2) have been investigated. Banach’s contraction mapping principle and Schauder fixed point theorem are used to obtain the existence and uniqueness results. In addition, the dependence of the solution on the initial conditions and the right-hand side of the given problem is analyzed.
