Nonexistence of solutions results for certain fractional differential equations
Abstract
This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to nonlinear fractional diffusion equation in space and time with nonlinear convective term. The Fujita exponent is determined.
Keywords:
convection-diffusion problem, reaction–diffusion equations, weak solutionHow to Cite
Berbiche, M. (2011). Nonexistence of solutions results for certain fractional differential equations. Mathematical Modelling and Analysis, 16(3), 488-497. https://doi.org/10.3846/13926292.2011.603166
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Published
2011-08-24
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Copyright
Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Berbiche, M. (2011). Nonexistence of solutions results for certain fractional differential equations. Mathematical Modelling and Analysis, 16(3), 488-497. https://doi.org/10.3846/13926292.2011.603166