## THERMAL SCIENCE

International Scientific Journal

### FRACTAL BOUNDARY VALUE PROBLEMS FOR INTEGRAL AND DIFFERENTIAL EQUATIONS WITH LOCAL FRACTIONAL OPERATORS

**ABSTRACT**

In the present paper we investigate the fractal boundary value problems for the Fredholm\Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results. [Projekat Ministarstva nauke Republike Srbije, br. OI 174001, III41006 i br. TI 35006]

**KEYWORDS**

PAPER SUBMITTED: 2013-03-17

PAPER REVISED: 2013-07-14

PAPER ACCEPTED: 2013-07-16

PUBLISHED ONLINE: 2013-08-04

**THERMAL SCIENCE** YEAR

**2015**, VOLUME

**19**, ISSUE

**3**, PAGES [959 - 966]

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