On the sub–diffusion fractional initial value problem with time variable order-Reference-Cited by-同舟云学术

On the sub–diffusion fractional initial value problem with time variable order

Published:2021-01-01 Issue:1 Volume:10 Page:1301-1315
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Cuesta Eduardo¹,Kirane Mokhtar²,Alsaedi Ahmed³,Ahmad Bashir³

Affiliation:

1. Department Matematica Aplicada, E.T.S.I. de Telecomunicacion, Campus Miguel Delibes, University of Valladolid , Paseo Belen 15, 47011 Valladolid , Spain

2. Department of Mathematics, College of Art and Sciences, Khalifa University of Science and Technology , Abu Dhabi , United Arab Emirates

3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University , , Jeddah 21589 , Saudi Arabia

Abstract

Abstract We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a regularity result for it, and a study on the asymptotic behavior.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0182/pdf

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