In this manuscript we investigate the existence of the fractional finite difference equation (FFDE) Δ μ − 2 μ x ( t ) = g ( t + μ − 1 , x ( t + μ − 1 ) , Δ x ( t + μ − 1 ) ) via the boundary condition x ( μ − 2 ) = 0 and the sum boundary condition x ( μ + b + 1 ) = ∑ k = μ − 1 α x ( k ) for order 1 μ ≤ 2 , where g : N μ − 1 μ + b + 1 × R × R → R , α ∈ N μ − 1 μ + b , and t ∈ N 0
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机译:在本手稿中,我们研究了分数有限差分方程(FFDE)Δμ-2μx(t)= g(t +μ-1,x(t +μ-1),Δx(t +μ- 1))通过边界条件x(μ-2)= 0和总边界条件x(μ+ b +1)= ∑ k =μ-1αx(k)对于阶1 <μ≤2,其中g :Nμ-1μ+ b + 1×R×R→R,α∈Nμ-1μ+ b,t∈N 0
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