A Novel Implementation of Dhage's Fixed Point Theorem to Nonlinear Sequential Hybrid Fractional Differential Equation

被引：4

作者：

Awadalla, Muath ^{[1
]}

Hannabou, Mohamed ^{[2
]}

Abuasbeh, Kinda ^{[1
]}

Hilal, Khalid ^{[2
]}

机构：

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

[2] Sultan Moulay Slimane Univ, Fac Sci & Tech, Dept Math, BP 523, Beni Mellal 23000, Morocco

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期

关键词：

existence; fixed point theorems; stability; fractional differential equations; COUPLED SYSTEM; EXISTENCE;

D O I：

10.3390/fractalfract7020144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, the existence and uniqueness of solutions to a sequential fractional (Hybrid) differential equation with hybrid boundary conditions were investigated by the generalization of Dhage's fixed point theorem and Banach contraction mapping, respectively. In addition, the U-H technique is employed to verify the stability of this solution. This study ends with two examples illustrating the theoretical findings.

引用

页数：15

共 50 条

[21] A novel extension of Darbo's fixed point theorem and its application to a class of differential equations involving ( k , ψ)-Hilfer fractional derivative
Khokhar, Gurpreet Kaur
Patel, Deepesh Kumar
Patle, Pradip Ramesh
FILOMAT, 2024, 38 (10) : 3439 - 3451
[22] Solution of fractional differential equation by fixed point results in orthogonal F-metric spaces
Alharbi, Mohammed H.
Ahmad, Jamshaid
AIMS MATHEMATICS, 2023, 8 (11): : 27347 - 27362
[23] POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL MULTI-POINT CONDITION
Borisut, Piyachat
Kumam, Poom
Ahmed, Idris
Sitthithakerngkiet, Kanokwan
FIXED POINT THEORY, 2020, 21 (02): : 427 - 440
[24] Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder's Fixed Point Theorem
Zhang, Xinguang
Mao, Cuiling
Wu, Yonghong
Su, Hua
ABSTRACT AND APPLIED ANALYSIS, 2014,
[25] A generalized Darbo's fixed point theorem and its applications to different types of hybrid differential equations
Das, Anupam
Deb, Sudip
Goswami, Rupanjali
Ahmed, Tazuddin
Izadi, Zeynab
Parvaneh, Vahid
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[26] A novel implementation of fixed-point theorems for high-order Hadamard fractional differential equations with multi-point integral boundary conditions
Boutiara, Abdelatif
JOURNAL OF MATHEMATICAL MODELING, 2023, 11 (04): : 767 - 782
[27] Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order
Hao, Mengru
Zhai, Chengbo
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (02): : 131 - 137
[28] On the Fixed Point Theorem for Large Contraction Mappings with Applications to Delay Fractional Differential Equations
Mesmouli, Mouataz Billah
Akin, Elvan
Iambor, Loredana Florentina
Tunc, Osman
Hassan, Taher S.
FRACTAL AND FRACTIONAL, 2024, 8 (12)
[29] Stability Analysis for Hadamard Fractional Differential Equations via Krasnoselskii's Fixed Point Theorem
Theswan, Sunisa
Asawasamrit, Suphawat
Ntouyas, Sotiris K.
Tariboon, Jessada
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2018, 57 (01): : 1 - 13
[30] Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem
Ahmadi, Zahra
Lashkaripour, Rahmatollah
Baghani, Hamid
Heidarkhani, Shapour
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (06) : 797 - 807

← 1 2 3 4 5 →