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

Yong-Kui Chang; Rodrigo Ponce; Yong-Kui Chang; Rodrigo Ponce

doi:10.3934/math.2021146

AIMS Mathematics

2021, Volume 6, Issue 3: 2398-2417. doi: 10.3934/math.2021146

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Research article

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

Yong-Kui Chang ¹,
Rodrigo Ponce ^{2
,
,}

1.
School of Mathematics and Statistics, Xidian University, Xi'an 710071, Shaanxi, P. R. China
2.
Universidad de Talca, Instituto de Matemáticas, Casilla 747, Talca-Chile

Received: 10 October 2020 Accepted: 15 December 2020 Published: 18 December 2020
MSC : 33E12, 34A08, 45N05, 47D06, 34K30

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.
- Caputo fractional derivatives,
- nonlocal problem,
- fractional diffusion equation,
- resolvent operators
Citation: Yong-Kui Chang, Rodrigo Ponce. Mild solutions for a multi-term fractional differential equation via resolvent operators[J]. AIMS Mathematics, 2021, 6(3): 2398-2417. doi: 10.3934/math.2021146

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Abstract

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.

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