Witte's conditions for uniqueness of solutions to a class of Fractal-Fractional ordinary differential equations

被引：0
|
作者：
Atangana, Abdon [1 ,2 ]
Koca, Ilknur [3 ]
机构：
[1] Univ Free State, Inst Groundwater Studies, Fac Nat & Agr Sci, ZA-9301 Bloemfontein, South Africa
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Mugla Sitki Kocman Univ, Fethiye Business Fac, Dept Econ & Finance, TR-48300 Mugla, Turkiye
来源：
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA | 2024年 / 14卷 / 04期
关键词：
Fractal calculus; Witte's conditions; Uniqueness; Nonlocal operators;
D O I：
10.11121/ijocta.1639
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Witte's conditions for the uniqueness solution of nonlinear differential equations with integer and non-integer order derivatives are investigated. We present a detailed analysis of the uniqueness solutions of four classes of nonlinear differential equations with nonlo cal operators. These classes include classical and fractional ordinary differential equations in fractal calculus. For each case, theorems and lemmas and their proofs are presented in detail.
引用
收藏
页码：322 / 335
页数：14
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