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

In: Control Systems and Mathematical Methods in Economics

Author

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  • Stanislav Harizanov

    (Bulgarian Academy of Sciences)

  • Svetozar Margenov

    (Bulgarian Academy of Sciences)

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

Suggested Citation

  • Stanislav Harizanov & Svetozar Margenov, 2018. "Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 147-163, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-75169-6_8
    DOI: 10.1007/978-3-319-75169-6_8
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    Cited by:

    1. Harizanov, Stanislav & Kosturski, Nikola & Margenov, Svetozar & Vutov, Yavor, 2021. "Neumann fractional diffusion problems: BURA solution methods and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 85-98.

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