Existence and uniqueness of neutral functional differential equations with sequential fractional operators

被引：0

作者：

Debbar, Rabah ^{[1
]}

Boulares, Hamid ^{[2
]}

Moumen, Abdelkader ^{[3
]}

Alraqad, Tariq ^{[3
]}

Saber, Hicham ^{[3
]}

机构：

[1] Univ 8 May 1945 Guelma, Guelma, Algeria

[2] Univ 8 May 1945 Guelma, Fac MISM, Dept Maths, Lab Anal & Control Differential Equat ACED, Guelma, Algeria

[3] Univ Hail, Coll Sci, Dept Math, Hail, Saudi Arabia

来源：

PLOS ONE | 2024年 / 19卷 / 07期

关键词：

BOUNDARY-VALUE-PROBLEMS; EXTREMAL SOLUTIONS; INTEGRATION;

D O I：

10.1371/journal.pone.0304575

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 research paper, we investigate the existence and uniqueness of solutions for neutral functional differential equations with sequential fractional orders, specifically involving the G-Caputo operator. To obtain the desired results, we employ the Banach fixed point theorem (BFPT), a nonlinear variation of the Leray-Schauder fixed point theorem (SFPT), and the Krasnoselski fixed point theorem (KFPT). Additionally, we provide illustrative examples that demonstrate the key findings. Furthermore, we address a scenario where an initial value integral condition is considered.

引用

页数：14

共 35 条

[1] A SURVEY OF LYAPUNOV FUNCTIONS, STABILITY AND IMPULSIVE CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS [J].