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An iterative method for solving linear fuzzy fractional integral equation

  • Fuzzy systems and their mathematics
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Abstract

In the present work, we construct an iterative method for the numerical solution of fuzzy fractional Volterra integral equations, by using the technique of fuzzy product integration. The existence and uniqueness of the solution and the uniform boundedness of the terms of the Picard iterations are proved. The convergence of the iterative algorithm is obtained, and the apriori error estimate is given in terms of the Lipschitz constants. A numerical example illustrates the accuracy of the method.

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The authors declare that the research was not funded by any grant.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Oradea, Universitatii Street No.1, 410087, Oradea, Romania

    Alexandru Mihai Bica & Zoltan Satmari

  2. Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

    Shokrollah Ziari

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  1. Alexandru Mihai Bica
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  2. Shokrollah Ziari
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  3. Zoltan Satmari
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Correspondence to Shokrollah Ziari.

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Bica, A.M., Ziari, S. & Satmari, Z. An iterative method for solving linear fuzzy fractional integral equation. Soft Comput 26, 6051–6062 (2022). https://doi.org/10.1007/s00500-022-07120-w

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