A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The aim of the paper is to consider the existence and uniqueness of solution of the fractional differential equation with a positive constant coefficient under Hilfer fractional derivative by using the fixed-point theorem.
We also prove the bounded and continuous dependence on the initial conditions of solution.
Besides, Hyers–Ulam stability and Hyers–Ulam–Rassias stability are discussed.
Finally, we provide an example to demonstrate our main results.
American Psychological Association (APA)
Van, Hoa Ngo& Ho, Vu. 2020. A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194018
Modern Language Association (MLA)
Van, Hoa Ngo& Ho, Vu. A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1194018
American Medical Association (AMA)
Van, Hoa Ngo& Ho, Vu. A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194018