Nonlocal Coupled System for (k, φ)-Hilfer Fractional Differential Equations

被引：8

作者：

Samadi, Ayub ^{[1
]}

Ntouyas, Sotiris K. ^{[2
]}

Tariboon, Jessada ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Miyaneh Branch, Miyaneh 5315836511, Iran

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[3] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok 10800, Thailand

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 05期

关键词：

(k; phi)-Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; existence; uniqueness; fixed-point theorems;

D O I：

10.3390/fractalfract6050234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a coupled system consisting of (k, phi)-Hilfer fractional differential equations of the order (1,2], supplemented with nonlocal coupled multi-point boundary conditions. The existence and uniqueness of the results are established via Banach's contraction mapping principle, the Leray-Schauder alternative and Krasnosel'skir's fixed-point theorem. Numerical examples are constructed to illustrate the obtained results.

引用

页数：17

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