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Hypersingular Integrals in Integral Equations and Inequalities: Fundamental Review Study

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Differential and Integral Inequalities

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 151))

Abstract

The present review deals with the fundamental approaches that cover the numerical solutions of singular and hypersingular integrals. The contribution of this work is to highlight and gather the most important background with the current modification of such work and provide the reader with an accurate image of today’s knowledge regarding the approximate solutions of singular integrals. The review provides a clear understanding of various numerical approaches from the 1960s up to the present day. Some interesting applications in physics and engineering are also given.

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Author information

Authors and Affiliations

  1. School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, Putrajaya, Malaysia

    Suzan J. Obaiys

  2. Cloud Computing Center, University of Malaya, Kuala Lumpur, Malaysia

    Rabha W. Ibrahim

  3. Department of Physics, University Putra Malaysia, Selangor, Malaysia

    Ahmad F. Ahmad

Authors
  1. Suzan J. Obaiys
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  2. Rabha W. Ibrahim
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  3. Ahmad F. Ahmad
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

    Dorin Andrica

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Obaiys, S.J., Ibrahim, R.W., Ahmad, A.F. (2019). Hypersingular Integrals in Integral Equations and Inequalities: Fundamental Review Study. In: Andrica, D., Rassias, T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-27407-8_25

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