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

2018    Mert, Raziye; Erbe, Lynn; Abdeljawad, Thabet

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.