Special Session 99: Asymptotic expansion for nonoscillatory solutions of differential and difference equations
Contents
A modified two-parametric Mittag-Leffler function plays a key role
in solving the so-called fractional differential equations. Its asymptotic behaviour is known (at least
for a subset of the domain and special choices of the parameters). The contribution
discusses a discrete analogue of this function as a solution of a certain two-term linear
fractional difference equation (involving both the Riemann-Liouville as well as the Caputo
fractional $h$-difference operators) and describes its asymptotics. Some of our
recent results on stability and asymptotics of solutions to the mentioned equation are employed here.