Autors: Pavlova, A. A., Atanaska Georgieva., Lozanka Trenkova.
Title: Homotopy Analysis Method to Solve Volterra-Fredholm Fuzzy Integral Equations
Keywords: two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation , Homotopy analysis method

Abstract: In this paper, we consider the two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). Homotopy analysis method (HAM) is used to determine the approximate solution of the investigated equation. We convert fuzzy Volterra-Fredholm integral equation to a system of Volterra-Fredholm integral equations in a crisp case. Hence, we obtain approximate solutions of this system and consequently obtain an approximation for the fuzzy solution of the fuzzy Volterra-Fredholm integral equation. We prove the convergence of the proposed method and find an error estimate between the exact and the approximate solution. A numerical example is given to demonstrate the validity and applicability of the proposed technique.

References

    Issue

    Studies in Computational Intelligence, vol. 961, pp. pp 110-122, 2021, Germany, Springer, Cham, Print ISBN 978-3-030-71615-8/Online ISBN 978-3-030-71616-5/DOI: 10.1007/978-3-030-71616-5_12

    Цитирания (Citation/s):
    1. Iva Naydenova,THE HOMOTOPY PERTURBED METHOD FOR VOLTERRA FUZZY INTEGRAL EQUATIONS, International Journal of Differential Equations and Applications (IJDEA), Volume 20, No. 1 (2021), pp 133-145, doi:10.12732/ijdea.v20i1.10, Scopus - 2021 - в издания, индексирани в Scopus или Web of Science

    Вид: постер/презентация в международен форум, публикация в реферирано издание, индексирана в Scopus