The 11th International Conference on Fuzzy Systems and Data Mining (FSDM 2025)

Abstract: This study investigates linear and nonlinear fuzzy Volterra integral equations with piecewise continuous kernels. Existence and uniqueness results are established, and a constructive scheme based on successive approximations is proposed. Numerical experiments are performed for both linear and nonlinear models, supported by error analysis and graphical illustrations. To enhance reliability, the CESTAC method in conjunction with the CADNA library is applied to determine the optimal approximation, optimal fuzzy distance, and optimal step size of the algorithm. Comparative results under different fuzzy parameters confirm the efficiency of the proposed scheme.

Biography: Prof. Samad Noeiaghdam, PhD of Applied Mathematics, is Research Professor of Henan Academy of Sciences, Zhengzhou, China. He was an Associate Professor of Irkutsk National Research Technical University, and a Senior Researcher in South Ural State University, Russia during 2019-2024. His main research interests are numerical analysis, solving mathematical models, fuzzy problems with applications, energy system problems, load leveling in energy storage, supply and demand systems, MHD and heat and mass transfer problems. He has more than 190 publications including several high-quality papers in top journals as well as books, chapters and conference papers. Because of his high-level activities in research and contribution to mathematical advancement globally he has been acknowledged as one of the top 2% scientists by Stanford University. He is the member of editorial board and guest editor in various journals and special issues.