Differential equations with fractional derivatives with fixed memory length

Ledesma C.T.; Rodríguez J.A.; Sousa J.V.C. · Rendiconti del Circolo Matematico di Palermo (2023) · DOI: 10.1007/s12215-021-00713-8

Resumen

In the present paper, we have as main purpose to contribute significantly with deep analysis of the properties of the fractional operators with fixed memory length, in particular, involving the Laplace transform of the Riemann–Liouville fractional integral and derivative with fixed memory length. In this sense, we tackle a problem of the existence and uniqueness of a fractional differential equation with fixed memory length, by means of two fundamental lemmas in the discussion of the integral equation and the Banach fixed point.

Instituciones: Universidad Nacional de Trujillo