Open AccessUniqueness of Solutions for the Initial Value Problem of a Simple Type Riccati Equation with Variable Fractional Order
Author(s) -
Lisha Chen,
Shi-you Lin,
Boyang Li
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1995/1/012056
Subject(s) - uniqueness , mathematics , riccati equation , simple (philosophy) , variable (mathematics) , order (exchange) , type (biology) , initial value problem , constant (computer programming) , value (mathematics) , algebraic riccati equation , mathematical analysis , differential equation , computer science , statistics , ecology , philosophy , epistemology , finance , economics , biology , programming language
In recent years, researches on the fractional Riccati equation have attracted extensive attention, and many achievements have emerged. However, most of the current works are carried out on the basis of constant fractional order. Here we study the Cauchy problem of one simple type Riccati equation with variable fractional order. By using Gronwall-Bellman inequality and other mathematical tools, we will prove the uniqueness of solutions of this problem.