Existence results for a generalization of the time-fractional diffusion equation with variable coefficients

Existence results for a generalization of the time-fractional diffusion equation with variable coefficients

Abstract In this paper we consider the Cauchy problem of a generalization of time-fractional diffusion equation with variable coefficients in R+n+1 $\mathbb {R}_{+}^{n+1}$, where the time derivative is replaced by a regularized hyper-Bessel operator. The explicit solution of the inhomogeneous linear...

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Bibliographic Details
Main Author: Kangqun Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Boundary Value Problems
Subjects:
Fractional diffusion equation
Mittag-Leffler function
M-Wright function
Mikhlin multiplier theorem
Weighted Sobolev space
Existence
Online Access:http://link.springer.com/article/10.1186/s13661-019-1125-0

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http://link.springer.com/article/10.1186/s13661-019-1125-0

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