Abstract
Abstract We consider the sequential CFC-type nabla fractional difference ( CFC ∇ a + 1 ν ∇ a μ CFC u ) ( t ) {(^{\mathrm{CFC}}\nabla^{\nu}_{a+1}{}^{\mathrm{CFC}}\nabla^{\mu}_{a}u)(t)} and show that one can derive monotonicity-type results even in the case where this difference satisfies a strictly negative lower bound. This illustrates some dissimilarities between the integer-order and fractional-order cases.
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