On the solution of fuzzy differential equations by Fuzzy Sumudu Transform

Najeeb Alam Khan 1 , Oyoon Abdul Razzaq 1 ,  and Muhammad Ayyaz 1
  • 1 Department of Mathematical Sciences, University of Karachi, Karachi 75270, Pakistan

Abstract

In this paper, Sumudu transform is advanced and designed for the solution of linear differential models with uncertainty. For this purpose, Sumudu transform is coupled with fuzzy theory and all its fundamental properties are formalized in fuzzy sense. At last, to demonstrate the accuracy of this approach, fuzzy Sumudu transform is employed to some examples of fuzzy linear differential equations considered under generalized H-differentiability and analytical solutions are obtained efficiently.

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The purpose of the Journal of Nonlinear Engineering is to provide a medium for dissemination of original research results in theoretical, experimental, practical, and applied nonlinear phenomena in engineering. The journal serves as a forum to exchange new ideas and applications of nonlinear problems occurring in aeronautical, biological, civil, chemical, communication, electrical, industrial, mechanical, mathematical, physical, and structural systems.

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