Novel solution methods for initial boundary value problems of fractional order with conformable differentiation

An International Journal of Optimization and Control: Theories & Applications

article

Mehmet Yavuz¹ 

[1] Necmettin Erbakan University

关键词: Conformable fractional derivative;    approximate-analytical solution;    Adomian decomposition method;    modified homotopy perturbation method;   

DOI  :  10.11121/ijocta.01.2018.00540

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this work, we develop a formulation for the approximate-analytical solution of fractional partial differential equations (PDEs) by using conformable fractional derivative. Firstly, we redefine the conformable fractional Adomian decomposition method (CFADM) and conformable fractional modified homotopy perturbation method (CFMHPM). Then, we solve some initial boundary value problems (IBVP) by using the proposed methods, which can analytically solve the fractional partial differential equations (FPDE). In order to show the efficiencies of these methods, we have compared the numerical and exact solutions of the IBVP. Also, we have found out that the proposed models are very efficient and powerful techniques in finding approximate solutions for the IBVP of fractional order in the conformable sense.

【 授权许可】

CC BY