Fuzzy Sumudu Transform for Solving Second Order Fuzzy Initial Value Problem under Generalized Differentiability

Authors

  • Muna Bnis Tripoli University
  • Aml A. Altirban Tripoli University
  • Nagah A Elbhilil Tripoli University

Keywords:

Fuzzy numbers, Hukuhara difference, Fuzzy differential equation, Fuzzy Sumudu transform, Generalized differential

Abstract

This paper focuses on studying the solutions of second-order fuzzy initial value
problems using the fuzzy Sumudu transform under the concept of generalized
differentiability. The paper provides an example to illustrate the application of
the proposed approach. The obtained solutions are presented in parametric
form using fuzzy numbers. The results demonstrate the effectiveness of the
fuzzy Sumudu transform in solving fuzzy differential equations. The
conclusions highlight the advantages of the proposed method over previous
approaches based on Hukuhara differentiation.

Downloads

Published

2024-09-01

Issue

Section

Articles