Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one

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The Poisson distribution, abstract fractional difference equations, and stability (2017, background): “Ferreira [21, 22] introduced the concept of left and right fractional sum/difference and started a fractional discretetime theory of the calculus of variations.”
Almost automorphic mild solutions to fractional partial difference-differential equations (2016, background): “So far the study on fractional difference equations focuses in the discussion of different but related definitions that may allow nice properties of calculus [5, 20, 21, 26, 27, 1, 40], existence of solutions of different classes of nonlinear fractional difference equations and in the development of”
lp ‐maximal regularity for fractional difference equations on UMD spaces (2015, background): “Ferreira [26], [27] introduced the concept of left and right fractional sum/difference and started a fractional discrete-time theory of the calculus of variations.”