Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices

Stanislav Harizanov and Svetozar Margenov ()
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Stanislav Harizanov: Bulgarian Academy of Sciences
Svetozar Margenov: Bulgarian Academy of Sciences

A chapter in Control Systems and Mathematical Methods in Economics, 2018, pp 147-163 from Springer

Abstract: Abstract This study is motivated by the recent development in the fractional calculus and its applications. During last few years, several different techniques are proposed to localize the nonlocal fractional diffusion operator. They are based on transformation of the original problem to a local elliptic or pseudoparabolic problem, or to an integral representation of the solution, thus increasing the dimension of the computational domain. More recently, an alternative approach aimed at reducing the computational complexity was developed. The linear algebraic system A α u = f $$\mathcal {A}^\alpha \mathbf {u}=\mathbf {f}$$ , 0

Date: 2018
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DOI: 10.1007/978-3-319-75169-6_8

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