Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions

Ahcene Merad; Abdelfatah Bouziani; Cenap Ozel

Araştırma Makalesi

Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions

Yıl 2015, Cilt: 44 Sayı: 5, 1087 - 1097, 01.10.2015

Ahcene Merad Abdelfatah Bouziani Cenap Ozel

Öz

In this paper we prove the existence, uniqueness, and continuous dependence upon the data of solution to integrodifferential parabolic equation with purely nonlocal integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain a solution using a numerical technique which is called Stehfest algorithm by inverting the Laplace transform.

Anahtar Kelimeler

Keywords: Integrodifferential parabolic equation, Approximate solution, Non- local purely integral conditions, Stehfest Algorithm

Kaynakça

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Yıl 2015, Cilt: 44 Sayı: 5, 1087 - 1097, 01.10.2015

Ahcene Merad Abdelfatah Bouziani Cenap Ozel

Öz

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	Ahcene Merad Abdelfatah Bouziani Bu kişi benim Cenap Ozel
Yayımlanma Tarihi	1 Ekim 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 5

Kaynak Göster

APA	Merad, A., Bouziani, A., & Ozel, C. (2015). Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics, 44(5), 1087-1097.
AMA	Merad A, Bouziani A, Ozel C. Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics. Ekim 2015;44(5):1087-1097.
Chicago	Merad, Ahcene, Abdelfatah Bouziani, ve Cenap Ozel. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics 44, sy. 5 (Ekim 2015): 1087-97.
EndNote	Merad A, Bouziani A, Ozel C (01 Ekim 2015) Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics 44 5 1087–1097.
IEEE	A. Merad, A. Bouziani, ve C. Ozel, “Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 5, ss. 1087–1097, 2015.
ISNAD	Merad, Ahcene vd. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics 44/5 (Ekim 2015), 1087-1097.
JAMA	Merad A, Bouziani A, Ozel C. Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics. 2015;44:1087–1097.
MLA	Merad, Ahcene vd. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 5, 2015, ss. 1087-9.
Vancouver	Merad A, Bouziani A, Ozel C. Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1087-9.