Study of a class of fractional order non linear neutral abstract Volterra integro-differential equations with deviated arguments

被引：1

作者：

Boutaous, Fatiha ^{[1
,2
]}

机构：

[1] Univ Blida 1, Fac Sci, Dept Math, BP 270, Blida 09000, Algeria

[2] Univ Blida 1, Fac Sci, Dept Math, LAMDA RO Lab, BP 270, Blida 09000, Algeria

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 187卷

关键词：

Fractional derivatives; Abstract Volterra integro-differential equations; Non autonomous neutral integro-differential; equation; Resolvent operator; Mild solution; Deviated argument; Fixed point theorem; DIFFERENTIAL-EQUATION; MILD SOLUTION; UNIQUENESS; EXISTENCE; SPACES;

D O I：

10.1016/j.chaos.2024.115341

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give new results on the study of a class of fractional order non linear neutral abstract Volterra integro-differential equations with deviated arguments, considered in a Banach space. Using the method suggested by Hern & aacute;ndez et al. (2010), which is based on the theory of resolvent operators for integral equations and fixed point theorems, we prove the main results on the existence and uniqueness of the mild solution of this type of problems which have not been studied before. We also give an example to which our main results are applicable.

引用

页数：13

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