A study of fractional differential equation with a positive constant coefficient via Hilfer fractional derivative (Q2196915)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A study of fractional differential equation with a positive constant coefficient via Hilfer fractional derivative |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A study of fractional differential equation with a positive constant coefficient via Hilfer fractional derivative |
scientific article |
Statements
A study of fractional differential equation with a positive constant coefficient via Hilfer fractional derivative (English)
0 references
4 September 2020
0 references
Summary: 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.
0 references
0 references
0 references
0 references
0 references
