ENERGY-DEPENDENT FRACTIONAL STURM-LIOUVILLE IMPULSIVE PROBLEM

被引：0

作者：

Metin Turk, Funda ^{[1
]}

Bas, Erdal ^{[2
]}

机构：

[1] Bartin Univ, Dept Math, Fac Sci, Bartin, Turkey

[2] Firat Univ, Dept Math, Fac Sci, Firat, Turkey

来源：

THERMAL SCIENCE | 2019年 / 23卷

关键词：

Sturm-Liouville problem; energy dependent; fractional; impulsive condition; Caputo derivative; EXISTENCE;

D O I：

10.2298/TSCI171017338M

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In study, we show the existence and integral representation of solution for energy-dependent fractional Sturm-Liouville impulsive problem of order with alpha is an element of (1,2] impulsive and boundary conditions. An existence theorem is proved for energy-dependent fractional Sturm-Liouville impulsive problem by using Schaefer fixed point theorem. Furthermore, in the last part of the article, an application is given for the problem and visual results are shown by figures.

引用

页码：S139 / S152

页数：14

共 28 条

[1]

Agarwal RP, 2008, MEM DIFFER EQU MATH, V44, P1

[2] EXISTENCE OF SOLUTIONS FOR IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER [J].