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SCI-Expanded JCR Q4 Özgün Makale Scopus
Solution of Abel’s Integral Equation by Kashuri Fundo Transform
Thermal Science 2022 Cilt 26 Sayı 4
Scopus Eşleşmesi Bulundu
9
Atıf
26
Cilt
3003-3010
Sayfa
🔓
Açık Erişim
Scopus Yazarları: Haldun Alpaslan Peker, F. A. Çuha
Özet
Integral equations can be defined as equations in which unknown function to be determined appears under the integral sign. These equations have been used in many problems occurring in different fields due to the connection they establish with differential equations. Abel’s integral equation is an important singular integral equation and Abel found this equation from a problem of mechanics, namely the tautochrone problem. This equation and some variants of it found applications in heat transfer between solids and gases under non-linear boundary conditions, theory of superfluidity, subsolutions of a non-linear diffusion problem, propagation of shock-waves in gas field tubes, microscopy, seismology, radio astronomy, satellite photometry of airglows, electron emission, atomic scattering, radar ranging, optical fiber evaluation, X-ray radiography, flame and plasma diagnostics. Integral transforms are widely used mathematical techniques for solving advanced problems of applied sciences. One of these transforms is the Kashuri Fundo transform. This transform was derived by Kashuri and Fundo to facilitate the solution processes of ODE and PDE. In some works, it has been seen that it provides great convenience in finding the unknown function in integral equations. In this work, our aim is to solve Abel’s integral equation by Kashuri Fundo transform and some applications are made to explain the solution procedure of Abel’s integral equation by Kashuri Fundo transform.
Anahtar Kelimeler (Scopus)
Convolution theorem Integral transforms Inverse kashuri fundo transform Kashuri fundo transform Abel’s integral equation

Anahtar Kelimeler

Convolution theorem Integral transforms Inverse kashuri fundo transform Kashuri fundo transform Abel’s integral equation

Makale Bilgileri

Dergi Thermal Science
ISSN 2334-7163
Yıl 2022 / 7. ay
Cilt / Sayı 26 / 4
Sayfalar 3003 – 3010
Makale Türü Özgün Makale
Hakemlik Hakemli
Endeks SCI-Expanded
JCR Quartile Q4
TEŞV Puanı 36,00
Yayın Dili Türkçe
Kapsam Uluslararası
Toplam Yazar 2 kişi
Erişim Türü Elektronik
Erişim Linki Makaleye Git
Alan Fen Bilimleri ve Matematik Temel Alanı Matematik Uygulamalı Matematik

YÖKSİS Yazar Kaydı

Yazar Adı ÇUHA FATMA AYBİKE, PEKER HALDUN ALPASLAN
YÖKSİS ID 6793779

Metrikler

Scopus Atıf 9
JCR Quartile Q4
TEŞV Puanı 36,00
Yazar Sayısı 2