A novel extension of Darbo's fixed point theorem and its application to a class of differential equations involving ( k , ψ)-Hilfer fractional derivative

被引：0

作者：

Khokhar, Gurpreet Kaur ^{[1
]}

Patel, Deepesh Kumar ^{[1
]}

Patle, Pradip Ramesh ^{[2
]}

机构：

[1] Visvesvaraya Natl Inst Technol, Dept Math, Nagpur, India

[2] VIT AP Univ Amravati, Sch Adv Sci, Dept Math, Amaravati, India

来源：

FILOMAT | 2024年 / 38卷 / 10期

关键词：

A-condensing operators; fixed point; k; psi )-Hilfer fractional di fferential equations; CONDENSING OPERATORS; EXISTENCE;

D O I：

10.2298/FIL2410439K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a new generalised class of operators called as A-condensing operators is introduced. The fixed point as well as coupled fixed point results are established for the newly defined class of mappings. The rich theory of measure of noncompactness is utilized in this purpose. The new results extend some of the famous works in the literature. Finally, an application to ( k , psi )-Hilfer fractional di fferential equation of order 2 < p < 3 and type 0 <= q <= 1 is presented.

引用

页码：3439 / 3451

页数：13

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