Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere

Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere

Fractional diffusion on the sphere plays a large role in the study of physical phenomena customs and meteorology and geophysics. In this paper, we examine two types of the sphere problem: the initial value problem and the end value problem. We are interested in focus on the solution existence in a l...

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Bibliographic Details
Published in:Advances in mathematical physics Vol. 2021; pp. 1 - 8
Main Authors: Phuong, N. D., Binh, Ho Duy, Van, Ho Thi Kim, Long, Le Dinh
Format: Journal Article
Language:English
Published: New York Hindawi 24-06-2021
Hindawi Limited
Subjects:
Boundary value problems
Evaluation
Fixed points (mathematics)
Geophysics
Inequality
Meteorology
Online Access:Get full text
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Summary:Fractional diffusion on the sphere plays a large role in the study of physical phenomena customs and meteorology and geophysics. In this paper, we examine two types of the sphere problem: the initial value problem and the end value problem. We are interested in focus on the solution existence in a local or global form. In order to overcome difficult evaluations when evaluating, we need some new techniques. The main analytical tool is the use of the Banach fixed point theorem.
ISSN:1687-9120
1687-9139
DOI:10.1155/2021/6370636