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

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

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Ahcene Merad Abdelfatah Bouziani This is me Cenap Ozel
Publication Date	October 1, 2015
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.
AMA	Merad A, Bouziani A, Ozel C. Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions. Hacettepe Journal of Mathematics and Statistics. October 2015;44(5):1087-1097.
Chicago	Merad, Ahcene, Abdelfatah Bouziani, and Cenap Ozel. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics 44, no. 5 (October 2015): 1087-97.
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	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, 2015.
ISNAD	Merad, Ahcene et al. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 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 et al. “Inversion Laplace Transform for Integrodifferential Parabolic Equation With Purely Nonlocal Conditions”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, 2015, pp. 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.