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Luciano Abadias

Bio: Luciano Abadias is an academic researcher from University of Zaragoza. The author has contributed to research in topics: Bounded function & Banach space. The author has an hindex of 8, co-authored 43 publications receiving 198 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, the existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as (*) for where is the generator of a -semigroup defined on a Banach space, denote fractional difference in Weyl-like sense and satisfies Lipchitz conditions of global and local type.
Abstract: We study existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as(*) for where is the generator of a -semigroup defined on a Banach space , denote fractional difference in Weyl-like sense and satisfies Lipchitz conditions of global and local type. We introduce the notion of -resolvent sequence and we prove that a mild solution of corresponds to a fixed point ofWe show that such mild solution is strong in case of the forcing term belongs to an appropriate weighted Lebesgue space of sequences. Application to a model of population of cells is given.

29 citations

Journal ArticleDOI
TL;DR: In this article, the authors prove maximum and comparison principles for the discrete fractional derivatives in the integers and prove the convergence to the Grunwald-Letnikov derivative for Holder continuous functions.

24 citations

Journal ArticleDOI
TL;DR: In this paper, a vector-valued subordination principle for -regularized resolvent families was obtained, which unified and improved various previous results in the literature, and established new relations between solutions of different fractional Cauchy problems.
Abstract: We obtain a vector-valued subordination principle for -regularized resolvent families which unified and improves various previous results in the literature. As a consequence, we establish new relations between solutions of different fractional Cauchy problems. To do that, we consider scaled Wright functions which are related to Mittag-Leffler functions, the fractional calculus, and stable Levy processes. We study some interesting properties of these functions such as subordination (in the sense of Bochner), convolution properties, and their Laplace transforms. Finally we present some examples where we apply these results.

23 citations

Journal ArticleDOI
TL;DR: In this paper, the connection between algebra homomorphisms defined on subalgebras of the Banach algebra l 1(N 0) and fractional versions of Cesaro sums of a linear operator T ∈ B(X) is established.
Abstract: Let X be a complex Banach space. The connection between algebra homomorphisms defined on subalgebras of the Banach algebra l 1(N0) and fractional versions of Cesaro sums of a linear operator T ∈ B(X) is established. In particular, we show that every (C, α)-bounded operator T induces an algebra homomorphism — and it is in fact characterized by such an algebra homomorphism. Our method is based on some sequence kernels, Weyl fractional difference calculus and convolution Banach algebras that are introduced and deeply examined. To illustrate our results, improvements to bounds for Abel means, new insights on the (C, α)-boundedness of the resolvent operator for temperated a-times integrated semigroups, and examples of bounded homomorphisms are given in the last section.

17 citations

Journal ArticleDOI
TL;DR: It is found that the perturbations produced by strong inhibitors of the protease are propagated far away from the binding site, confirming the long-range nature of intra-protein communication.
Abstract: We propose a model for the transmission of perturbations across the amino acids of a protein represented as an interaction network. The dynamics consists of a Susceptible-Infected (SI) model based on the Caputo fractional-order derivative. We find an upper bound to the analytical solution of this model which represents the worse-case scenario on the propagation of perturbations across a protein residue network. This upper bound is expressed in terms of Mittag-Leffler functions of the adjacency matrix of the network of inter-amino acids interactions. We then apply this model to the analysis of the propagation of perturbations produced by inhibitors of the main protease of SARS CoV-2. We find that the perturbations produced by strong inhibitors of the protease are propagated far away from the binding site, confirming the long-range nature of intra-protein communication. On the contrary, the weakest inhibitors only transmit their perturbations across a close environment around the binding site. These findings may help to the design of drug candidates against this new coronavirus.

17 citations


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01 Jan 2016
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: Thank you very much for downloading table of integrals series and products. Maybe you have knowledge that, people have look hundreds times for their chosen books like this table of integrals series and products, but end up in harmful downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they cope with some harmful virus inside their laptop. table of integrals series and products is available in our book collection an online access to it is set as public so you can get it instantly. Our book servers saves in multiple locations, allowing you to get the most less latency time to download any of our books like this one. Merely said, the table of integrals series and products is universally compatible with any devices to read.

4,085 citations

Book ChapterDOI
01 Jan 2015

3,828 citations