Mathematicians from RUDN University have proved the unique continuation theorem for a one-dimensional solution to a fractional order diffusion problem. Such equations are used, for example, to solve problems of the diffusion of particles in a porous medium like the seepage of groundwater. The results of the mathematicians’ work could lead to a more accurate analysis of solutions and their numerical simulation. In the general case, there are no such continuation theorems for other classes of similar equations. The article was published in the journal Fractional Calculus and Applied Analysis.
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Source: Phys.org