Novel solution methods for initial boundary value problems of fractional order with conformable differentiation
Yükleniyor...
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we develop a formulation for the approximate-analytical solution offractional partial differential equations (PDEs) by using conformable fractionalderivative. Firstly, we redefine the conformable fractional Adomiandecomposition method (CFADM) and conformable fractional modifiedhomotopy perturbation method (CFMHPM). Then, we solve some initialboundary value problems (IBVP) by using the proposed methods, which cananalytically solve the fractional partial differential equations (FPDE). In order toshow the efficiencies of these methods, we have compared the numerical andexact solutions of the IBVP. Also, we have found out that the proposed modelsare very efficient and powerful techniques in finding approximate solutions forthe IBVP of fractional order in the conformable sense.
Açıklama
Anahtar Kelimeler
Conformable fractional derivative, Approximate-analytical solution, Adomian decomposition method, Modified homotopy perturbation method
Kaynak
An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
8
Sayı
1
Künye
Yavuz, M. (2018). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. 8, 1, 1-7.
