## THERMAL SCIENCE

International Scientific Journal

### THE FRACTIONAL POWER SERIES METHOD AN EFFICIENT CANDIDATE FOR SOLVING FRACTIONAL SYSTEMS

**ABSTRACT**

The fractional power series method was originally proposed to solve a fractional differential equation. This paper extends the method to a system of fractional differential equations with great success. How to construct an initial solution, plays an important role in the solution process and an example is given to elucidate the choice of the initial solution.

**KEYWORDS**

PAPER SUBMITTED: 2016-08-05

PAPER REVISED: 2017-08-23

PAPER ACCEPTED: 2017-09-01

PUBLISHED ONLINE: 2018-09-10

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**4**, PAGES [1745 - 1751]

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