Smallest eigenvalues for a fractional difference equation with right focal boundary conditions

Abstract

We show the existence of and then compare smallest eigenvalues for Atici–Eloe fractional difference equations satisfying a right focal boundary condition. The theory of $u_0$-positive operators is applied to obtain these results.

Keywords:

• $u_0$-positive operator
• Atici–Eloe fractional difference equations
• smallest eigenvalues

AMS Subject Classifications:

• Primary: 26A33
• 34B09
• Secondary: 39A12

Notes

No potential conflict of interest was reported by the authors.