## THERMAL SCIENCE

International Scientific Journal

### NEW METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS

**ABSTRACT**

In this work we suggest a numerical approach based on the B-spline polynomial to obtain the solution of linear fractional partial differential equations. We find the operational matrix for fractional integration and then we convert the main problem into a system of linear algebraic equations by using this matrix. Examples are provided to show the simplicity of our method.

**KEYWORDS**

PAPER SUBMITTED: 2017-07-07

PAPER REVISED: 2017-12-15

PAPER ACCEPTED: 2018-01-10

PUBLISHED ONLINE: 2018-02-18

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Supplement 1**, PAGES [S277 - S286]

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