Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE DOUBLE FUZZY ELZAKI TRANSFORM FOR SOLVING FUZZY PARTIAL DIFFERENTIAL EQUATIONS

  • Kshirsagar, Kishor A. (Department of Mathematics New Arts, Commerce and Science Autonomous College) ;
  • Nikam, Vasant R. (Department of Mathematics Mahatma Gandhi Vidyamandir's, Samajshree Prashantdada Hiray Arts, Science and Commerce College) ;
  • Gaikwad, Shrikisan B. (Department of Mathematics New Arts, Commerce and Science Autonomous College) ;
  • Tarate, Shivaji A. (Department of Mathematics New Arts, Commerce and Science Autonomous College)
  • Received : 2021.10.08
  • Accepted : 2022.04.20
  • Published : 2022.05.15
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Abstract

The Elzaki Transform method is fuzzified to fuzzy Elzaki Transform by Rehab Ali Khudair. In this article, we propose a Double fuzzy Elzaki transform (DFET) method to solving fuzzy partial differential equations (FPDEs) and we prove some properties and theorems of DFET, fundamental results of DFET for fuzzy partial derivatives of the nth order, construct the Procedure to find the solution of FPDEs by DFET, provide duality relation of Double Fuzzy Laplace Transform (DFLT) and Double Fuzzy Sumudu Transform(DFST) with proposed Transform. Also we solve the Fuzzy Poisson's equation and fuzzy Telegraph equation to show the DFET method is a powerful mathematical tool for solving FPDEs analytically.

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References

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