Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations

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dc.contributor.authorAhmad, Bashir
dc.contributor.authorAlsaedi, Ahmed
dc.contributor.authorBerbiche, Mohamed
dc.contributor.authorKirane, Mokhtar
dc.date.accessioned2021-10-08T19:05:32Z
dc.date.available2021-10-08T19:05:32Z
dc.date.issued2020-11-02
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAhmad, B., Alsaedi, A., Berbiche, M., & Kirane, M. (2020). Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations. <i>Electronic Journal of Differential Equations, 2020</i>(110), pp. 1-28.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14621
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCoupled fractional-diffusion equations
dc.subjectPolynomial nonlinearities
dc.subjectGlobal solution
dc.subjectBlow-up
dc.titleExistence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
dc.typeArticle

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