Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative

被引：12

作者：

Ozarslan, Ramazan ^{[1
]}

Bas, Erdal ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

[2] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06790 Ankara, Turkey

[3] Inst Space Sci, Magurele 077125, Romania

来源：

CHAOS | 2020年 / 30卷 / 03期

关键词：

SYSTEM;

D O I：

10.1063/1.5131167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the representation of solutions by means of rho-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different alpha fractional orders and real rho values. Published under license by AIP Publishing.

引用

页数：11

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