## THERMAL SCIENCE

International Scientific Journal

### APPLICATION OF KASHURI FUNDO TRANSFORM AND HOMOTOPY PERTURBATION METHODS TO FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS

**ABSTRACT**

Integral transformations have been used for a long time in the solution of differential equations either solely or combined with other methods. These transforms provide a great advantage in reaching solutions in an easy way by transforming many seemingly complex problems into a more understandable format. In this study, we used an integral transform, namely Kashuri Fundo transform, by blending with the homotopy perturbation method for the solution of non-linear fractional porous media equation and time-fractional heat transfer equation with cubic non-linearity.

**KEYWORDS**

PAPER SUBMITTED: 2021-10-29

PAPER REVISED: 2022-03-07

PAPER ACCEPTED: 2022-05-15

PUBLISHED ONLINE: 2022-07-23

**THERMAL SCIENCE** YEAR

**2022**, VOLUME

**26**, ISSUE

**Issue 4**, PAGES [2877 - 2884]

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