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Comparison of Green's functions for a family of boundary value problems for fractional difference equations

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ABSTRACT In this paper, we obtain sign conditions and comparison theorems for Green's functions of a family of boundary value problems for a Riemann-Liouville type delta fractional difference equation. Moreover,… Click to show full abstract

ABSTRACT In this paper, we obtain sign conditions and comparison theorems for Green's functions of a family of boundary value problems for a Riemann-Liouville type delta fractional difference equation. Moreover, we show that as the length of the domain diverges to infinity, each Green's function converges to a uniquely defined Green's function of a singular boundary value problem.

Keywords: difference; family boundary; value; boundary value; green functions; functions family

Journal Title: Journal of Difference Equations and Applications
Year Published: 2018

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