Solving nonlinear fractional equations and some related integral equations under a measure of noncompactness

被引：1

作者：

Hammad, Hasanen A. ^{[1
,2
]}

Aydi, Hassen ^{[3
]}

de la sen, Manuel ^{[4
]}

机构：

[1] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[3] Univ Sousse, Inst Super Informat & Tech Commun, Sousse 4000, Tunisia

[4] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Dept Elect & Elect, Leioa 48940, Bizkaia, Spain

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2025年 / 44卷 / 01期

关键词：

Fixed point technique; The existence solution; Non-compactness; Fractional derivative; Banach space; EXISTENCE; SOLVABILITY; THEOREM; ORDER;

D O I：

10.1007/s40314-025-03084-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use Petryshyn's fixed point (FP) theorem to investigate the existence of solutions to a system of nonlinear fractional integral equations (FIEs) in the context of real Banach spaces (BSs). Also, the method of measuring non-compactness (MNC) is the main tool used in the analysis of the product of three compounds. Many previous theories in this field have been updated as a result of our findings. In addition, certain physical examples are discussed. Finally, several supporting examples have been included to assess the efficacy and validity of our findings.

引用

页数：20

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