A New Method to Solve Time Fractional Diffusion Equations Arising in Chaos and Heat Conduction
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AMER SCIENTIFIC PUBLISHERS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The goal of the present paper is to construct a method to obtain the solution of conformable fractional partial differential equations (CFPDEs). Since these systems can be transformed to partial differential equations (PDEs) by using wave transform, the reduced system can be solved by using differential transform method (DTM) solution methods. Based on this idea, we build an efficient solution procedure that reduces CFPDEs to PDEs via wave transform, then approximate the solution of obtained system by using Differential Transform Method (DTM) which is a special procedure for solving PDEs. As an example, we implement the method to time fractional Diffusion Equation (TFDE).
Açıklama
Anahtar Kelimeler
Conformable Fractional Partial Differential Equations, Fractional Wave Transform Method, Differential Transform Method, Time Fractional Diffusion Equation
Kaynak
JOURNAL OF ADVANCED PHYSICS
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
7
Sayı
3
