Applicability of Monch's Fixed Point Theorem on a System of (k, ψ)-Hilfer Type Fractional Differential Equations

被引：6

作者：

Fadhal, Emad ^{[1
]}

Abuasbeh, Kinda ^{[1
]}

Manigandan, Murugesan ^{[2
]}

Awadalla, Muath ^{[1
]}

机构：

[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hasa 31982, Saudi Arabia

[2] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamilnadu, India

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 12期

关键词：

generalized Hilfer derivative; existence; mixed boundary conditions; Ulam-Hyers stability; BOUNDARY-VALUE PROBLEM; EXISTENCE; STABILITY;

D O I：

10.3390/sym14122572

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 article, we study a system of Hilfer (k,psi)-fractional differential equations, subject to nonlocal boundary conditions involving Hilfer (k,psi)-derivatives and (k,psi)-integrals. The results for the mentioned system are established by using Monch's fixed point theorem, then the Ulam-Hyers technique is used to verify the stability of the solution for the proposed system. In general, symmetry and fractional differential equations are related to each other. When a generalized Hilfer fractional derivative is modified, asymmetric results are obtained. This study concludes with an applied example illustrating the existence results obtained by Monch's theorem.

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页数：17

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