Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
PERGAMON-ELSEVIER SCIENCE LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we study Lie symmetry analysis of initial and boundary value problems (IBVPs) for partial differential equations (PDE) with Caputo fractional derivative. According to Bluman's definition and theorem for the symmetry analysis of the PDE system, we determine the symmetries of the PDE with Caputo fractional derivative in general form and prove theorem for the above equation. We investigate the symmetry analysis of IBVP for a fractional diffusion and third-order fractional partial differential equation (FPDE). And as a result of applying the method, we get several solutions. (C) 2020 Elsevier Ltd. All rights reserved.
Açıklama
KAYA, DOGAN/0000-0002-8400-5313; Iskenderoglu, Gulistan/0000-0001-7322-1339
WOS:000527769700046
WOS:000527769700046
Anahtar Kelimeler
Lie group method, Fractional differential equation, Boundary value problem
Kaynak
CHAOS SOLITONS & FRACTALS
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
134
