title: Riesz Riemann-Liouville difference on discrete domains.
abstract: A Riesz difference is defined by the use of the Riemann-Liouville differences on time scales. Then the definition is considered for discrete fractional modelling. A lattice fractional equation method is proposed among which the space variable is defined on discrete domains. Finite memory effects are introduced into the lattice system and the numerical formulae are given. Adomian decomposition method is adopted to solve the fractional partial difference equations numerically.
authors: College of Electronic and Information Engineering, Southwest University, Chongqing 400715, People's Republic of China.
authors: Guo-Cheng
authors: GC
authors: Wu
authors: Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey.
authors: Dumitru
authors: D
authors: Baleanu
authors: College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, People's Republic of China.
authors: He-Ping
authors: HP
authors: Xie