Note on a time fractional diffusion equation with time dependent variables coefficients

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:4
Note on a time fractional diffusion equation with time dependent variables coefficients

Note on a time fractional diffusion equation with time dependent variables coefficients

Pages : 600-610

View : 11 | Download : 7

Publication Date : 2021-12-30

Article Type : Research Paper

Abstract :In this short paper, we study time fractional diffusion equations with time-dependent coefficients. The derivative operator that appears in the main equation is Riemann-Liouville. The main purpose of the paper is to prove the existence of a global solution. Due to the nonlocality of the derivative operator, we cannot represent the solution directly when the coefficient depends on time. Using some new transformations and techniques, we investigate the global solution. This paper can be considered as one of the first results on the topic related to problems with time-dependent coefficients. Our main tool is to apply Fourier analysis method and combine with some estimates of Mittag-Lefler functions and some Sobolev embeddings.
Keywords : Fractional diffusion equation, Riemman Liouville, Fractional diffusion equatio, regularity

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.