Fundamental solutions for discrete dynamical systems involving the fractional Laplacian
Abstract
We prove representation results for solutions of a time‐fractional differential equation involving the discrete fractional Laplace operator in terms of generalized Wright functions. Such equations arise in the modeling of many physical systems, for example, chain processes in chemistry and radioactivity. Our focus is in the problem , where 0β ≤ 2, 0α ≤ 1, , (−Δd)α is the discrete fractional Laplacian, and is the Caputo fractional derivative of order β. We discuss important special cases as consequences of the representations obtained.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 31, 2019
- Source ID
- 10.1002/mma.5685
Entities
People
- Carlos Lizama
- Jorge González‐camus
- Mahamadi Warma
- Valentin Keyantuo
Organizations
- Air Force Office of Scientific Research
- CONICYT