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All Journal Journal of Mathematics: Theory and Applications Journal of Mathematics, Computation and Statistics (JMATHCOS)
Renggawati, Rini
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Mathematics

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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

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Numerical Approach for Solving Fractional Integral Equations using Fixed-point Iterative Scheme Ansar, Ahmad; Fatimah, Meryta Febrilian; Renggawati, Rini
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.6859

Abstract

This paper is aimed to solve fractional integral equations using fixed point iterative approach. We used D-plus iteration process with nonexpansive mapping in uniformly convex Banach spaces. We start by prove weak and strong convergence theorems related for nonexpansive mapping and compare convergence rate of some iterative scheme through numerical example. Furthermore, we use this method to prove the existence and estimate the solution of fractional integral equations. The D-plus iterative method shows the good performance in solve fractional integral equations. We also give some example to illustrate main results.
Co-Authors Ahmad Ansar Alam, Syaherna Darmawati Dayasin Meryta Febrilian Fatimah, Meryta Febrilian Nur, Wahyudin Nurfasilah Yanti, Rista