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math.DS2018
A Hilbert space approach to fractional difference equations
Pham The Anh, Artur Babiarz, Adam Czornik +5
We formulate fractional difference equations of Riemann-Liouville and Caputo type in a functional analytical framework. Main results are existence of solutions on Hilbert space-val…
math.DS2015★ 6 cited
Linearized Asymptotic Stability for Fractional Differential Equations
N. D. Cong, T. S. Doan, S. Siegmund +1
We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differen…