Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions
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.
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.Ahcene Merad, Abdelfatah Bouziani, Cenap Ozel. 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
