Caputo fractional evolution equations in discrete sequences spaces

Mahillo, Alejandro (Universidad de Zaragoza) ; Miana, Pedro J. (Universidad de Zaragoza)

Resumen: In this paper, we treat some fractional differential equations on the sequence Lebesgue spaces ℓp(N0) with p≥1. The Caputo fractional calculus extends the usual derivation. The operator, associated to the Cauchy problem, is defined by a convolution with a sequence of compact support and belongs to the Banach algebra ℓ1(Z). We treat in detail some of these compact support sequences. We use techniques from Banach algebras and a Functional Analysis to explicity check the solution of the problem.

Idioma: Inglés

DOI: 10.3390/foundations2040059

Año: 2022

Publicado en: Foundations 2, 4 (2022), 872-884
ISSN: 2673-9321

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)