Existence and uniqueness results for sequential ψ-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditions

被引：6
|
作者：
Guida, Karim [1 ]
Ibnelazyz, Lahcen [1 ]
Hilal, Khalid [1 ]
Melliani, Said [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp LAMSC, BP 523, Beni Mellal, Morocco
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 08期
关键词：
existence; uniqueness; psi-Hilfer Fractional derivative; pantograph equations; fixed point theory;
D O I：
10.3934/math.2021477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the existence and uniqueness of boundary value problems for sequential psi-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditions. The existence results are obtained via the well known Krasnoselskii's fixed point theorem while the uniqueness is demonstrated by using the Banach's contraction mapping principle. Some examples are also given to demonstrate the application of the main results.
引用
收藏
页码：8239 / 8255
页数：17
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