Normalized finite fractional differences: Computational and accuracy breakthroughs
Rafał Stanisławski, Krzysztof J. Latawiec (2012)
International Journal of Applied Mathematics and Computer Science
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This paper presents a series of new results in finite and infinite-memory modeling of discrete-time fractional differences. The introduced normalized finite fractional difference is shown to properly approximate its fractional difference original, in particular in terms of the steady-state properties. A stability analysis is also presented and a recursive computation algorithm is offered for finite fractional differences. A thorough analysis of computational and accuracy aspects is culminated...