2016-Sustainable Industrial Processing Summit
SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications

Editors:Kongoli F, Gaines G, Georgiev S, Bhalekar A
Publisher:Flogen Star OUTREACH
Publication Year:2016
Pages:320 pages
ISBN:978-1-987820-42-3
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    Iso-Integral Equations

    Svetlin Georgiev1;
    1SORBONNE UNIVERSITY, Paris, France;
    Type of Paper: Regular
    Id Paper: 445
    Topic: 38

    Abstract:

    This talk encompasses recent developments of iso-integral equations. It also contains elegant analytical and numerical methods.
    It is introduced the classification of iso-integral equations and necessary techniques to convert iso-differential equations to iso-integral equations. They are investigated the generalized Volterra iso-integral equations and the relevant solution techniques. They are considered the generalized Volterra iso-integro-iso-differential equations and also solution techniques. Generalized Fredholm iso-integral equations are investigated. Hilbert-Schmidt theory of generalized iso-integral equations with symmetric kernels is proposed. The Laplace transform method and the series solution method are introduced. Nonlinear iso-integral equations are investigated.
    In the talk are represented some applications.

    Keywords:

    Santilli iso- geno- hyper- and isodual-numbers;

    Cite this article as:

    Georgiev S. Iso-Integral Equations. In: Kongoli F, Gaines G, Georgiev S, Bhalekar A, editors. Sustainable Industrial Processing Summit SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications. Volume 4. Montreal(Canada): FLOGEN Star Outreach. 2016. p. 87-88.