A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions

被引：1
|
作者：
Li, Chenkuan [1 ]
Saadati, Reza [2 ]
O'Regan, Donal [3 ]
Mesiar, Radko [4 ,5 ]
Hrytsenko, Andrii [1 ]
机构：
[1] Brandon Univ, Dept Math & Comp Sci, Brandon, MB, Canada
[2] Iran Univ Sci & Technol, Sch Math, Tehran 1311416846, Iran
[3] Univ Galway, Sch Math & Stat Sci, Galway, Ireland
[4] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava, Slovakia
[5] Czech Acad Sci, Inst Informat Theory & Automat, Prague, Czech Republic
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 16期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Babenko's approach; Banach's contractive principle; multivariate Mittag-Leffler function; nonlinear partial integro-differential equation; PARTIAL-DIFFERENTIAL-EQUATIONS;
D O I：
10.1002/mma.9486
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study a new nonlinear partial integro-differential equation with nonlocal initial value conditions and investigate the solutions of this equation. By considering an equivalent implicit integral equation via series, we prove the uniqueness of solutions of the equation by Babenko's approach, Banach's contraction principle, and the multivariable Mittag-Leffler function. We also demonstrate the application of our key theorem with an illustrative example.
引用
收藏
页码：17010 / 17019
页数：10
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