Journal Article

·2018 OPEN ACCESS

APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE

Sebahat Ebru Das YTU

Marmara Fen Bilimleri Dergisi

Abstract

In this work, we consider some fractional differential equations with different boundary conditions. Sinc-collocation method (SCM) has been employed to obtain the approximate solution for these fractional boundary value problems (FBVPs). Beta-derivative is taken for the fractional derivatives. Intercalarity, several test samples with numerical simulations are handled. Convergence analysis shows that SCM is a consistent and effective method.

Keywords

Fractional calculus Sinc function Mathematics Derivative (finance) Boundary value problem Convergence (economics) Collocation method Mathematical analysis BETA (programming language) Applied mathematics Collocation (remote sensing) Work (physics) Differential equation Ordinary differential equation Computer science Physics

Subject Areas

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Differential Equations and Numerical Methods ·Numerical Analysis ·Physical Sciences
Nonlinear Differential Equations Analysis ·Applied Mathematics ·Physical Sciences