Solving Fractional Fuzzy Impulsive Differential Equations with Uncertainty by Novel Computational Technique

Abstract

The aim of this paper is to utilize the fuzzy fractional generalized Taylor series for fuzzy fractional impulsive differential equations (FFIDE) with uncertainty in the sense for generalized Hukuhara differentiability. Then, for the FFIDE, the modified fuzzy fractional Euler technique (MFFET) is presented following the fuzzy fractional generalized Taylor series and its local and global truncation errors are defined. Furthermore, the consistency, convergence, and stability for this MFFET are provided in detail. The illustrative examples show that the above technique, owing to its usefulness and efficiency, is used for solving nth-order nonlinear FFIDES. © 2022 Elsevier B.V., All rights reserved.