On the solvability of boundary value problems for iterative fractional differential equations

被引：1

作者：

Krushna, Boddu Muralee Bala ^{[1
]}

Khuddush, Mahammad ^{[2
]}

机构：

[1] MVGR Coll Engn, Dept Math, Vizianagaram 535005, India

[2] Dr Lankapalli Bullayya Coll Engn, Dept Math, Visakhapatnam 530013, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 03期

关键词：

Fractional derivative; Boundary value problem; Kernel; System; Fixed-point theorem; Cone; Banach space; Positive solution; POSITIVE SOLUTIONS; EXISTENCE; SYSTEMS;

D O I：

10.1007/s12215-023-00975-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper attempts to investigate the existence of at least one positive solution and the existence of a unique positive solution to an iterative and conformable fractional system associated with the Sturm-Liouville type conditions. The approach employed in this work relies on the well-known Guo-Krasnosel'skii fixed point theorem and Wardowski fixed point theorem. To ensure the validity of our key findings, examples are included.

引用

页码：1139 / 1154

页数：16

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