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This paper studies a fractional difference equation of two point boundary value problem (BVP) type, which is recognized as the ‘discrete’ BVP. Certain cases are expressed under which the discrete boundary value problems (DBVP) will have a single solution. The novelty hither comprises a method selection of metric and employment of Hölder’s inequality. This attitude allows the related functions to be contractive, which were earlier non-contractive in classical regularities. This consequently qualifies an enhanced application of Banach’s fixed point theorem for classifying a more extensive framework of issues than those which appeared in the current designs.

Existence of a class of fractional difference equations with two point boundary value problem