@misc{10498/35360,
year = {2021},
url = {http://hdl.handle.net/10498/35360},
abstract = {We provide a characterization for the existence and uniqueness of solutions in the space of vector-valued sequences $\ell_p(\mathbb{Z},X)$ for the multi-term fractional delayed model in the form:
$$
\Delta^\alpha u(n)+\lambda \Delta^\beta u(n)=Au(n)+u(n-\tau)+f(n),~n\in\mathbb{Z},\alpha, \beta\in\mathbb{R}_{+},\tau\in\mathbb{Z},~\lambda\in\mathbb{R}
$$
where X is a Banach space, A is a closed linear operator with domain D(A) defined on X, $f\in \ell_p(\mathbb{Z},X)$ and  $\Delta^{\gamma}$ denotes the Gr\"unwald-Letkinov fractional derivative of order $\gamma>0$. We also give some conditions to ensure the  existence of solutions when adding nonlinearities. Finally, we illustrate our results with an example given by a general abstract nonlinear model that includes  the fractional Fisher equation with delay.},
publisher = {Elsevier},
title = {Maximal ℓp-regularity of multi-term fractional equations with delay.},
doi = {10.1002/MMA.6792},
author = {Girona, I. and Murillo Arcila, Marina},
}