This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to modelling ...
In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form Δ(b(n)Δ(a(n)Δz(n))) + q(n)xα(σ(n)) = 0 where z(n) = x(n) + p(n)x(τ(n)), α > 0, b(n) > 0, ...
SIAM Journal on Numerical Analysis, Vol. 49, No. 5/6 (2011), pp. 2017-2038 (22 pages) General autonomous stochastic differential equations (SDEs) driven by one-dimensional Brownian motion in the ...