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

被引：0

作者：

Boddu Muralee Bala Krushna

Mahammad Khuddush

机构：

[1] MVGR College of Engineering,Department of Mathematics

[2] Dr. Lankapalli Bullayya College of Engineering,Department of Mathematics

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2024年 / 73卷

关键词：

Fractional derivative; Boundary value problem; Kernel; System; Fixed-point theorem; Cone; Banach space; Positive solution; 26A33; 34A08; 34B18; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

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：15

共 50 条

[1] On the solvability of boundary value problems for iterative fractional differential equations
Krushna, Boddu Muralee Bala
Khuddush, Mahammad
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (03) : 1139 - 1154
[2] Solvability of boundary value problems of nonlinear fractional differential equations
Weiqi Chen
Yige Zhao
Advances in Difference Equations, 2015
[3] Solvability of boundary value problems of nonlinear fractional differential equations
Chen, Weiqi
Zhao, Yige
ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 13
[4] Solvability of boundary value problems of singular nonlinear fractional differential equations
Song, Wenqing
2016 IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION (ICIA), 2016, : 2041 - 2044
[5] SOLVABILITY OF BOUNDARY-VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Guo, Y.
UKRAINIAN MATHEMATICAL JOURNAL, 2011, 62 (09) : 1409 - 1419
[6] SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
Wang, Jinrong
Lv, Linli
Zhou, Yong
FIXED POINT THEORY, 2013, 14 (02): : 507 - 522
[7] Solvability of boundary-value problems for nonlinear fractional differential equations
Y. Guo
Ukrainian Mathematical Journal, 2011, 62 : 1409 - 1419
[8] Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces
Li, Fang
Wang, Huiwen
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[9] Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces
Fang Li
Huiwen Wang
Advances in Difference Equations, 2014
[10] Unique Solvability of the Boundary-Value Problems for Nonlinear Fractional Functional Differential Equations
Dilna N.
Gromyak M.
Leshchuk S.
Journal of Mathematical Sciences, 2022, 265 (4) : 577 - 588

← 1 2 3 4 5 →