Exact solutions of fractional partial differential equation systems with conformable derivative

Yükleniyor...
Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

UNIV NIS, FAC SCI MATH

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Main goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known derivative. This derivative obeys both rules which other popular derivatives do not satisfy such as derivative of the quotient of two functions, the derivative product of two functions, chain rule and etc. By using conformable derivative it is seen that the solution procedure for (PDES) is simpler and more efficient.

Açıklama

8th International Conference on Mathematical Analysis, Differential Equation and Applications (MADEA) -- JUN 17-23, 2018 -- Cholpon Ata, KYRGYZSTAN

Anahtar Kelimeler

Double Laplace transform, conformable fractional derivative, conformable fractional integral, fractional integro-differential equation

Kaynak

FILOMAT

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

33

Sayı

5

Künye

Özkan, O., Kurt, A. (2019). Exact Solutions of Fractional Partial Differential Equation Systems with Conformable Derivative. Filomat, 33(5), 1313-1322.