Subordination principle for fractional diffusion-wave equations of Sobolev type-Reference-Cited by-同舟云学术

Subordination principle for fractional diffusion-wave equations of Sobolev type

Published:2020-04-01 Issue:2 Volume:23 Page:427-449
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ponce Rodrigo¹

Affiliation:

1. Instituto de Matemática y , Física Universidad de Talca Casilla , 747 , Talca , Chile

Abstract

Abstract In this paper we study subordination principles for fractional differential equations of Sobolev type in Banach space. With the help of the theory of Sobolev type resolvent families (known also as propagation family) as well as these subordination principles, we obtain the existence of mild solutions for this kind of equations. We study simultaneously the case 0 < α < 1 and 1 < α < 2 for the Caputo and Riemann-Liouville fractional derivatives.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0021/pdf

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