Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
dc.contributor.author | Ahmad, Bashir | |
dc.contributor.author | Alsaedi, Ahmed | |
dc.contributor.author | Berbiche, Mohamed | |
dc.contributor.author | Kirane, Mokhtar | |
dc.date.accessioned | 2021-10-08T19:05:32Z | |
dc.date.available | 2021-10-08T19:05:32Z | |
dc.date.issued | 2020-11-02 | |
dc.description.abstract | We study the Cauchy problem for a system of semi-linear coupled fractional-diffusion equations with polynomial nonlinearities posed in ℝ+ x ℝN. Under appropriate conditions on the exponents and the orders of the fractional time derivatives, we present a critical value of the dimension N, for which global solutions with small data exist, otherwise solutions blow-up in finite time. Furthermore, the large time behavior of global solutions is discussed. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 28 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ahmad, B., Alsaedi, A., Berbiche, M., & Kirane, M. (2020). Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations. Electronic Journal of Differential Equations, 2020(110), pp. 1-28. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14621 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Coupled fractional-diffusion equations | |
dc.subject | Polynomial nonlinearities | |
dc.subject | Global solution | |
dc.subject | Blow-up | |
dc.title | Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations | |
dc.type | Article |