Remotely multi-term and transparently single-term fractional differential equations

被引：0

作者：

Panda, Sumati Kumari ^{[1
]}

Vijayakumar, Velusamy ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Pradesh, India

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Florida Inst Technol, Dept Math & Syst Engn, Melbourne, FL 32901 USA

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年

关键词：

Multi-order fractional differential equation; Integral boundary conditions; Equicontinuous; Krasnosel'skii fixed point theorem; Contractive mapping; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s12190-024-02323-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article focuses on the complex problem of solving multi-term(order) fractional differential equations with integral boundary conditions. By using advanced topology techniques, we develop new approaches to obtain the desired solutions. The efficacy of these techniques is demonstrated through various numerical examples. Additionally, the Hyers-Ulam stability of multi-term fractional differential equations with integral boundary conditions is presented.

引用

页码：2261 / 2300

页数：40

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