Affiliations: [a] Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Ho Chi Minh City, Vietnam | [b]
Constantin Brancusi University, Republicii, Targu-Jiu, Romania
| [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:
[*]
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: [email protected].
Abstract: In this paper the interval-valued delay fractional differential equations (IDFDEs) under the Caputo generalized Hukuhara differentiability are introduced. By establishing some necessary comparison results and using the monotone iterative technique combined with the method of upper and lower solutions, we investigate the existence of extremal solutions for interval-valued delay fractional differential equations. Several examples are presented to illustrate the concepts and results.
Keywords: Interval-valued functions, interval-valued fractional integral and derivatives, interval-valued delay fractional differential equation
