A Variational Approach of the Sturm-Liouville Problem in Fractional Difference Calculus

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.

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