Fuzzy Partial Differential Equations with Fuzzy Coefficients for S-Linearly Correlated Fuzzy Processes

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, University of Campinas, Brazil.

2 Research Center of Performance and Productivity Analysis, Istinye University, Turkey.

10.22034/cmde.2025.67894.3247

Abstract

In this paper, we introduce the concept of the distributive product of S-linearly correlated fuzzy processes. Within this framework, we study linear fuzzy partial differential equations (FPDEs) with fuzzy coefficients for S-linearly correlated fuzzy processes. In particular, we study the fuzzy transport and heat equations with fuzzy coefficients and present their general solutions.

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Articles in Press, Accepted Manuscript
Available Online from 10 April 2026
  • Receive Date: 27 June 2025
  • Revise Date: 24 February 2026
  • Accept Date: 07 April 2026