## THERMAL SCIENCE

International Scientific Journal

### LAPLACE TRANSFORM OVERCOMING PRINCIPLE DRAWBACKS IN APPLICATION OF THE VARIATIONAL ITERATION METHOD TO FRACTIONAL HEAT EQUATIONS

**ABSTRACT**

This note presents a Laplace transform approach in the determination of the Lagrange multiplier when the variational iteration method is applied to time fractional heat diffusion equation. The presented approach is more straightforward and allows some simplification in application of the variational iteration method to fractional differential equations, thus improving the convergence of the successive iterations.

**KEYWORDS**

PAPER SUBMITTED: 2012-10-19

PAPER ACCEPTED: 2012-10-23

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**4**, PAGES [1257 - 1261]

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