Systems of Sequential ψ1-Hilfer and ψ2-Caputo Fractional Differential Equations with Fractional Integro-Differential Nonlocal Boundary Conditions

被引：1

作者：

Sitho, Surang ^{[1
]}

Ntouyas, Sotiris K. K. ^{[2
]}

Sudprasert, Chayapat ^{[3
]}

Tariboon, Jessada ^{[3
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Coll Ind Technol, Dept Social & Appl Sci, Bangkok 10800, Thailand

[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：

SYMMETRY-BASEL | 2023年 / 15卷 / 03期

关键词：

psi-Hilfer fractional derivative; psi-Caputo fractional derivative; boundary value problems; nonlocal boundary conditions; existence; uniqueness; fixed point;

D O I：

10.3390/sym15030680

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce and study a new class of coupled and uncoupled systems, consisting of mixed-type ?(1)-Hilfer and ?(2)-Caputo fractional differential equations supplemented with asymmetric and symmetric integro-differential nonlocal boundary conditions (systems (2) and (13), respectively). As far as we know, this combination of ?(1)-Hilfer and ?(2)-Caputo fractional derivatives in coupled systems is new in the literature. The uniqueness result is achieved via the Banach contraction mapping principle, while the existence result is established by applying the Leray-Schauder alternative. Numerical examples illustrating the obtained results are also presented.

引用

页数：15

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