Work

An alternative definition of the fractional in space derivatives

Year: 2026

Type: article

Abstract: Starting from some general considerations about the current definitions of the fractional Laplacian operator, in this work we present an alternative definition of the fractional in space derivative. The analysis exploits the theory of the operational calculus for unbounded operators with spectrum contained in the imaginary axis. The resulting operator interpolates the derivatives of arbitrary integer order.

Source: Fractional Calculus and Applied Analysis

Authors: Eleonora Denich, Paolo Novati

Institution: University of Trieste

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,590

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Regione Autonoma Friuli Venezia Giulia, Università degli Studi di Trieste, Gruppo Nazionale per il Calcolo Scientifico

Awards: G6129143191, G7940996277