Existence and Uniqueness Solutions of Multi-Term Delay Caputo Fractional Differential Equations

被引：0

作者：

Mani, Gunaseelan ^{[1
]}

Ganesh, Purushothaman ^{[2
]}

Chidhambaram, Karnan ^{[3
]}

Aljohani, Sarah ^{[4
]}

Mlaiki, Nabil ^{[4
]}

机构：

[1] Saveetha Univ, Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[2] St Josephs Coll Engn, Dept Math, Chennai 119, Tamil Nadu, India

[3] KRamakrishnan Coll Engn Autonomous, Dept Math, Trichy 621112, Tamil Nadu, India

[4] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

Fixed point; nonlocal integral boundary conditions; stability criteria; Caputo fractional drivative; CONTROLLABILITY; SYSTEM;

D O I：

10.28924/2291-8639-22-2024-171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study investigates a novel type of nonlocal boundary value problem with multipoint-integral boundaries and multi-term delay Caputo fractional differential ff erential equations (FDE). The provided problem is turned into an analogous fixed-point problem using fixed-point (FP) theory tools. Additionally, discussing about stability, in Ulam-Hyers-Rassias (UHR), Ulam-Hyers (UH), generalized Ulam-Hyers-Rassias (GUHR) and generalized Ulam-Hyers (GUH) stability, for finding the problem. Based on our obtained results we given some examples. As of our obtained results are very useful to multi-term caputo FDE related to hydrodynamics.

引用

页数：23

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