Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions

Ahcene Merad; Abdelfatah Bouziani; Cenap Ozel

Research Article

Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions

Year 2015, Volume: 44 Issue: 5, 1087 - 1097, 01.10.2015

Ahcene Merad , Abdelfatah Bouziani Cenap Ozel

https://izlik.org/JA59ZT37EL

Abstract

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.

Keywords

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

References

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Year 2015, Volume: 44 Issue: 5, 1087 - 1097, 01.10.2015

Ahcene Merad , Abdelfatah Bouziani Cenap Ozel

https://izlik.org/JA59ZT37EL

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Ahcene Merad Abdelfatah Bouziani This is me Cenap Ozel
Publication Date	October 1, 2015
IZ	https://izlik.org/JA59ZT37EL
Published in Issue	Year 2015 Volume: 44 Issue: 5

Cite

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. https://izlik.org/JA59ZT37EL
AMA	1.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):1087-1097. https://izlik.org/JA59ZT37EL
Chicago	Merad, Ahcene, Abdelfatah Bouziani, and Cenap Ozel. 2015. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics 44 (5): 1087-97. https://izlik.org/JA59ZT37EL.
EndNote	Merad A, Bouziani A, Ozel C (October 1, 2015) Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics 44 5 1087–1097.
IEEE	[1]A. Merad, A. Bouziani, and C. Ozel, “Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1087–1097, Oct. 2015, [Online]. Available: https://izlik.org/JA59ZT37EL
ISNAD	Merad, Ahcene - Bouziani, Abdelfatah - Ozel, Cenap. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 1, 2015): 1087-1097. https://izlik.org/JA59ZT37EL.
JAMA	1.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, et al. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, Oct. 2015, pp. 1087-9, https://izlik.org/JA59ZT37EL.
Vancouver	1.Merad A, Bouziani A, Ozel C. Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Oct. 1;44(5):1087-9. Available from: https://izlik.org/JA59ZT37EL