A q-FRACTIONAL APPROACH TO THE REGULAR STURM-LIOUVILLE PROBLEMS

被引：0

作者：

Al-Towailb, Maryam A. ^{[1
]}

机构：

[1] King Saud Univ, Fac Appl Studies & Community Serv, Dept Nat & Engn Sci, Riyadh, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Q-DIFFERENCE EQUATIONS; SAMPLING THEORY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the regular q-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riema nn-Liouville q-fractional derivative of the same order, alpha epsilon (0,1). We prove properties of the eigenvalues and the eigenfunctions in a certain Hilbert space. We use a fixed point theorem for proving the existence and uniqueness of the eigenfunctions. We also present an example involving little q-Legendre polynomials.

引用

页数：13

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