Open Access

Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions


Cite

This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.

eISSN:
2300-133X
Language:
English
Publication timeframe:
1 time per year
Journal Subjects:
Mathematics, General Mathematics