## THERMAL SCIENCE

International Scientific Journal

### SOLUTION FOR A SYSTEM OF FRACTIONAL HEAT EQUATIONS OF NANOFLUID ALONG A WEDGE

**ABSTRACT**

In this article, authors set a new system of fractional heat equations of nanofluid along a wedge and establish the existence and uniqueness of a solution based on the Riemann-Liouville differential operators. Sufficient conditions on the parameters of the system are imposed. A numerical solution of the system is discussed, and applications are illustrated. The technique is based on the ability of Podlubny’s matrix in Matlab to formulate the operation of fractional calculus.

**KEYWORDS**

PAPER SUBMITTED: 2014-10-10

PAPER REVISED: 2015-02-02

PAPER ACCEPTED: 2015-02-08

PUBLISHED ONLINE: 2015-08-02

**THERMAL SCIENCE** YEAR

**2015**, VOLUME

**19**, ISSUE

**Supplement 1**, PAGES [S51 - S57]

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