Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators

In this paper, first, we intend to determine the relationship between sign of Δc0βy(c0+1), for 1<β<2, and Δy(c0+1)>0, in case assume that Δc0βy(c0+1) is negative. After that, by considering set Dℓ+1,θ⊆Dℓ,θ, which are subsets (1,2), will extend our previous result make Δc0βy(z) Δy(z)>0 (the monotonicity y), where be assumed negative each z∈Nc0T:={c0,c0+1,c0+2,⋯,T} some T∈Nc0:={c0,c0+1,c0+2,⋯}. The last part work devoted see possibility information reduction regarding y despite non-positivity means numerical simulation.