Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator
type: Item
instance of: scholarly article
title: Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator
zbMATH Open document ID: 1475.35382
author: Ziyad A. Alhussain
author: Habib Rebei
author: Hafedh Rguigui
author: Anis Riahi
published in: São Paulo Journal of Mathematical Sciences
publication date: 2021-07-28T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 46E50
zbMATH DE Number: 7375698
zbMATH Keywords: Liouville-Caputo time fractional evolution equation
zbMATH Keywords: Riemann-Liouville time fractional evolution equation
zbMATH Keywords: number operator
zbMATH Keywords: Mittag-Leffler type functions
zbMATH Keywords: nuclear space of holomorphic functions
MaRDI profile type: Publication
full work available at URL: s40863-020-00200-5
OpenAlex ID: W3120141948
Wikidata QID: Q107169847
cites work: Q3078229
cites work: STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
cites work: Q3520968
cites work: Powers of quantum white noise derivatives
cites work: Higher powers of analytical operators and associated ∗-Lie algebras
cites work: A duality theorem between spaces of holomorphic functions of exponential growth
cites work: Q5509277
cites work: On the solution of fractional evolution equations
cites work: Q5699297
cites work: Q4881598
cites work: White noise calculus and Fock space
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: QWN-conservation operator and associated Wick differential equation
cites work: Parabolic Equations Associated with the Number Operator
cites work: Quantum Ornstein-Uhlenbeck semigroups
cites work: Characterization of the \texttt{QWN}-conservation operator and applications
cites work: Fractional number operator and associated fractional diffusion equations
DOI: 10.1007/S40863-020-00200-5
description: scientific article; zbMATH DE number 7375698