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Subordination principle for fractional diffusion-wave equations of Sobolev type.
- Source :
- Fractional Calculus & Applied Analysis; Apr2020, Vol. 23 Issue 2, p427-449, 23p
- Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 23
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 143346201
- Full Text :
- https://doi.org/10.1515/fca-2020-0021