The analytical solutions for conformable integral equations and integro-differential equations by conformable Laplace transform

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

SPRINGER

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this article, existence theorem for conformable Laplace transform is expressed. Then by using basic properties of conformable Laplace transform such as convolution theorem, conformable Laplace transform of fractional derivative and fractional integral, authors obtained the exact solution of initial value problems for integral equations and integro-differential equations where the derivatives and integrals are in conformable sense. In the literature it is the first time that obtaining the solutions of integro differential equations, integral equations by means of conformable fractional derivative.

Açıklama

Anahtar Kelimeler

Conformable fractional derivative, Conformable Laplace transform, Integral equation, Conformable integro-differential equation

Kaynak

OPTICAL AND QUANTUM ELECTRONICS

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

50

Sayı

2

Künye