Existence results for nonlinear neutral generalized Caputo fractional differential equations

被引：18

作者：

Adjimi, Naas ^{[1
]}

Boutiara, Abdelatif ^{[1
]}

Abdo, Mohammed S. ^{[2
]}

Benbachir, Maamar ^{[3
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Metlili 47000, Algeria

[2] Hodeidah Univ, Dept Math, Al Hudeidah, Yemen

[3] Univ Saad, Lab Math & Appl Sci, Dahlab Blida 1, Ouled Yaich 9000, Algeria

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2021年 / 12卷 / 02期

关键词：

Fractional derivatives; Existence and Ulam– Hyers stability; Fixed point theorem; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1007/s11868-021-00400-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann-Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam-Hyers stability results for the addressed problem. Further, an example illustrate our acquired results.

引用

页数：17

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