## THERMAL SCIENCE

International Scientific Journal

### THE SOLUTION OF LOCAL FRACTIONAL DIFFUSION EQUATION INVOLVING HILFER FRACTIONAL DERIVATIVE

**ABSTRACT**

In this present work the Yang-Fourier transform method incorporating the Laplace transform method is used to solve fractional diffusion equations involving the Hilfer fractional derivative and local fractional operator. The exact solution is obtained.

**KEYWORDS**

PAPER SUBMITTED: 2018-04-21

PAPER REVISED: 2018-07-19

PAPER ACCEPTED: 2018-10-11

PUBLISHED ONLINE: 2019-04-14

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 3**, PAGES [S809 - S814]

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