SOLVING FUZZY FRACTIONAL HEAT EQUATION USING HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD

Authors

  • Gethsi Sharmila Assistant Professor, PG & Research Department of Mathematics, Bishop Heber College (Affiliated to Bharathidasan University) Tiruchirappalli-17, Tamil Nadu, India
  • Luvis Savla Research Scholar, PG & Research Department of Mathematics, Bishop Heber College (Affiliated to Bharathidasan University) Tiruchirappalli-17, Tamil Nadu, India.

DOI:

https://doi.org/10.59461/ijitra.v2i4.62

Keywords:

Fractional calculus, Fuzzy number, Fuzzy fractional heat equation, Sumudu transform, Homotopy perturbation method

Abstract

This paper extents the Homotopy Perturbation Sumudu Transform Method (HPSTM) to solve fuzzy fractional heat equations. To illustrate the reliability of the method, some examples are presented. The results reveal that HPSTM is a highly effective scheme for obtaining approximate analytical solutions of fuzzy fractional heat equations. Figures and numerical examples demonstrate the expertise of the suggested approach. This method is applied for both linear and nonlinear ordinary and partial FFDEs. The proposed approach is rapid, exact, and simple to apply and produce excellent outcomes.

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Published

2023-12-12

How to Cite

Gethsi Sharmila, & Luvis Savla. (2023). SOLVING FUZZY FRACTIONAL HEAT EQUATION USING HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD. International Journal of Information Technology, Research and Applications, 2(4), 1–11. https://doi.org/10.59461/ijitra.v2i4.62

Issue

Vol. 2 No. 4 (2023): IJITRA

Section

Regular Issue

License

Copyright (c) 2023 International Journal of Information Technology, Research and Applications

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