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arXiv · 2105.07913

Explicit representation of discrete fractional resolvent families in Banach spaces

Jorge Gonzalez-Camus·Rodrigo Ponce
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Abstract

In this paper we introduce a discrete fractional resolvent family $\{S_{\alpha,\beta}^n\}_{n\in\mathbb{N}_0}$ generated by a closed linear operator in a Banach space $X$ for a given $\alpha,\beta>0.$ Moreover, we study its main properties and, as a consequence, we obtain a method to study the existence and uniqueness of the solutions to discrete fractional difference equations in a Banach space.

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Jorge Gonzalez-Camus, Rodrigo Ponce. 2021-05-17. Explicit representation of discrete fractional resolvent families in Banach spaces. https://arxiv.org/abs/2105.07913

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