$Mild solutions for a multi-term fractional differential equation via resolvent operators$

Mild solutions for a multi-term fractional differential equation via resolvent operators

This paper is concerned with multi-term fractional differential equations. With the help of the theory of fractional resolvent families, we establish the existence of mild solutions to a multi-term fractional differential equation.

Bibliographic Details
Main Authors:	Yong-Kui Chang, Rodrigo Ponce
Format:	Article
Language:	English
Published:	AIMS Press 2021-01-01
Series:	AIMS Mathematics
Subjects:	caputo fractional derivatives nonlocal problem fractional diffusion equation resolvent operators
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021146?viewType=HTML

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spelling	doaj-c52b5c3bc72f4fd3b882f720e7c9d3272021-01-07T02:23:28ZengAIMS PressAIMS Mathematics2473-69882021-01-01632398241710.3934/math.2021146Mild solutions for a multi-term fractional differential equation via resolvent operatorsYong-Kui Chang0Rodrigo Ponce11. School of Mathematics and Statistics, Xidian University, Xi'an 710071, Shaanxi, P. R. ChinaUniversidad de Talca, Instituto de Matemáticas, Casilla 747, Talca-Chile This paper is concerned with multi-term fractional differential equations. With the help of the theory of fractional resolvent families, we establish the existence of mild solutions to a multi-term fractional differential equation.http://www.aimspress.com/article/doi/10.3934/math.2021146?viewType=HTMLcaputo fractional derivativesnonlocal problemfractional diffusion equationresolvent operators
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yong-Kui Chang Rodrigo Ponce
spellingShingle	Yong-Kui Chang Rodrigo Ponce Mild solutions for a multi-term fractional differential equation via resolvent operators AIMS Mathematics caputo fractional derivatives nonlocal problem fractional diffusion equation resolvent operators
author_facet	Yong-Kui Chang Rodrigo Ponce
author_sort	Yong-Kui Chang
title	Mild solutions for a multi-term fractional differential equation via resolvent operators
title_short	Mild solutions for a multi-term fractional differential equation via resolvent operators
title_full	Mild solutions for a multi-term fractional differential equation via resolvent operators
title_fullStr	Mild solutions for a multi-term fractional differential equation via resolvent operators
title_full_unstemmed	Mild solutions for a multi-term fractional differential equation via resolvent operators
title_sort	mild solutions for a multi-term fractional differential equation via resolvent operators
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-01-01
description	This paper is concerned with multi-term fractional differential equations. With the help of the theory of fractional resolvent families, we establish the existence of mild solutions to a multi-term fractional differential equation.
topic	caputo fractional derivatives nonlocal problem fractional diffusion equation resolvent operators
url	http://www.aimspress.com/article/doi/10.3934/math.2021146?viewType=HTML
work_keys_str_mv	AT yongkuichang mildsolutionsforamultitermfractionaldifferentialequationviaresolventoperators AT rodrigoponce mildsolutionsforamultitermfractionaldifferentialequationviaresolventoperators
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Mild solutions for a multi-term fractional differential equation via resolvent operators

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