Fundamental solutions for discrete dynamical systems involving the fractional Laplacian-Reference-Cited by-同舟云学术

Fundamental solutions for discrete dynamical systems involving the fractional Laplacian

Published:2019-05-31 Issue:14 Volume:42 Page:4688-4711
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

González‐Camus Jorge¹,Keyantuo Valentin²,Lizama Carlos¹^ORCID,Warma Mahamadi²

Affiliation:

1. Departamento de Matemática y Ciencia de la Computación Universidad de Santiago de Chile Las Sophoras 173, Estación Central, Santiago Chile

2. Department of Mathematics, Faculty of Natural Sciences University of Puerto Rico, Rio Piedras Campus 17 University Ave. Ste 1701 San Juan 00925‐2537 Puerto Rico

Funder

Air Force Office of Scientific Research

Comisión Nacional de Investigación Científica y Tecnológica

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.5685

Reference50 articles.

1. Fundamental solution of the time-fractional telegraph Dirac operator

2. Fundamental solution of the multi-dimensional time fractional telegraph equation

3. Fundamental solutions to advection–diffusion equation with time-fractional Caputo–Fabrizio derivative

4. Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian

5. The fundamental solution of the space‐time fractional diffusion equation;Mainardi F;Fract Calc Appl Anal,2001

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