3 papers
math.FA2019
A Hilbert space approach to fractional differential equations
Kai Diethelm, Konrad Kitzing, Rainer Picard +3
We study fractional differential equations of Riemann-Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on , we defi…
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.DS2018
A Hilbert space approach to difference equations
Konrad Kitzing, Rainer Picard, Stefan Siegmund +2
We consider general difference equations for on exponentially weighted spaces of two-sided Hilbert space valued sequences and dis…