## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Approximate analytical solutions of a class of nonlinear fractional boundary value problems with conformable derivative

**ABSTRACT**

In this paper, it is presented that an approximate solution of a class of nonlinear differential equations with conformable derivative under boundary conditions by using sinc-Galerkin method that is not used to approximately solve the class of the considered equation in the literature. In the method, the solution function is expressed as a finite series in terms of composite translated sinc functions and the unknown coefficients. The problem is reduced into a nonlinear matrix-vector system via sinc grid points, and when this system is solved by using Newton's method, the unknown coefficients of the solution function are easily obtained. Also, error analysis and some test problems are presented to illustrate the applicability and accuracy of the proposed method.

**KEYWORDS**

PAPER SUBMITTED: 2020-05-04

PAPER REVISED: 2020-10-21

PAPER ACCEPTED: 2020-10-27

PUBLISHED ONLINE: 2021-01-24

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