Published January 1, 2018
| Version v1
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A VARIATIONAL APPROACH OF THE STURM-LIOUVILLE PROBLEM IN FRACTIONAL DIFFERENCE CALCULUS
Creators
- 1. Univ Turkish Aeronaut Assoc, Mechatron Engn Dept, TR-06790 Ankara, Turkey
- 2. Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
- 3. Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia
Description
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.
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