## THERMAL SCIENCE

International Scientific Journal

### EXACT SOLUTIONS OF TIME-FRACTIONAL HEAT CONDUCTION EQUATION BY THE FRACTIONAL COMPLEX TRANSFORM

**ABSTRACT**

The Fractional Complex Transform is extended to solve exactly time-fractional differential equations with the modified Riemann-Liouville derivative. How to incorporate suitable boundary/initial conditions is also discussed.

**KEYWORDS**

PAPER SUBMITTED: 2011-05-03

PAPER REVISED: 2011-05-20

PAPER ACCEPTED: 2011-07-11

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**2**, PAGES [335 - 338]

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