PERIODIC SOLUTIONS FOR NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH ψ-CAPUTO FRACTIONAL DERIVATIVE

被引：0
|
作者：
Foukrach, Djamal [1 ]
Bouriah, Soufyane [1 ]
Benchohra, Mouffak [2 ]
Henderson, Johnny [3 ]
机构：
[1] Univ Hassiba Benbouali Chlef, Fac Exact Sci & Informat, Dept Math, Ouled Fares, Ouled Fares Chl, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[3] Baylor Univ, Dept Math, Waco, TX 76798 USA
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2022年 / 86卷
关键词：
psi-Caputo fractional derivative; existence; uniqueness; periodic solutions; coincidence degree theory; Volterra-Fredholm integro-differential equation; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, by using the coincidence degree theory of Mawhin introduced in [15], we discuss the existence and uniqueness of periodic solutions to a large class of problems for a nonlinear Volterra-Fredholm integro-differential equation involving the psi-Caputo fractional derivative. Two examples are given to substantiate the validity of our findings.
引用
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页码：51 / 68
页数：18
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