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Interval Abel integral equation

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Abstract

In this paper, we use a generalization of the Riemann–Liouville fractional integral for interval-valued functions to study a theory of the interval Abel integral equation (IAIE). Our aim is to clarify under which suitable conditions the IAIE is solvable. The theory is illustrated by solving some examples.

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Acknowledgments

The authors would like to express deep gratitude to the Editor-in-Chief Professor Antonio Di Nola and anonymous referees for their valuable comments and suggestions which have greatly improve this paper.

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Authors and Affiliations

  1. Constantin Brancusi University, Targu-Jiu, Romania

    Vasile Lupulescu

  2. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Ngo Van Hoa

  3. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Ngo Van Hoa

Authors
  1. Vasile Lupulescu
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  2. Ngo Van Hoa
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Correspondence to Ngo Van Hoa.

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The authors declare that they have no conflict of interest regarding the publication of this paper.

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Communicated by V. Loia.

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Lupulescu, V., Van Hoa, N. Interval Abel integral equation. Soft Comput 21, 2777–2784 (2017). https://doi.org/10.1007/s00500-015-1980-2

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