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Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere

Author

Listed:
  • N. D. Phuong
  • Ho Duy Binh
  • Ho Thi Kim Van
  • Le Dinh Long

Abstract

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.

Suggested Citation

  • N. D. Phuong & Ho Duy Binh & Ho Thi Kim Van & Le Dinh Long, 2021. "Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-8, June.
    • Handle: RePEc:hin:jnlamp:6370636
    DOI: 10.1155/2021/6370636
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