A VARIATIONAL APPROACH OF THE STURM-LIOUVILLE PROBLEM IN FRACTIONAL DIFFERENCE CALCULUS

TitleA VARIATIONAL APPROACH OF THE STURM-LIOUVILLE PROBLEM IN FRACTIONAL DIFFERENCE CALCULUS
Publication TypeJournal Article
Year of Publication2018
AuthorsMERT RAZIYE, ERBE LYNN, ABDELJAWAD THABET
JournalDynamic Systems and Applications
Volume27
Issue1
Start Page137
Pagination12
Date Published01/2018
ISSN1056-2176
AMS Subject Classification34A08, 35R11
Abstract

In this article, we formulate and analyze a nabla fractional difference Sturm Liouville problem (SLP) with the nabla left Caputo fractional difference and the nabla right Riemann-Liouville fractional difference. The discrete fractional variational calculus is used to study the eigenvalues and eigenfunctions of the formulated SLP by presenting a new nabla fractional difference isoperimetric variational problem.
PDFhttps://www.acadsol.eu/dsa/articles/27/1/7.pdf
DOI10.12732/dsa.v27i1.7
Refereed DesignationRefereed