Browsing by Author "Merad, Ahcene"
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Item A Method of solution for integro-differential parabolic equation with purely integral conditions(2015) Merad, Ahcene; Bouziani, AbdelfatahThe objective of this paper is to prove existence, uniqueness, and continuous dependence upon the data of solution to integro-differential parabolic equation with purely integral conditions. The proofs are based on a priory estimates and Laplace transform method. Finally, we obtain the solution by using a numerical technique for inverting the Laplace transforms. 20.1 IntroductionItem On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions(2015) Merad, Ahcene; Bouziani, Abdelfatah; OZEL, CenapIn this study, we prove the existence, uniqueness, and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal (integral) conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution using a numerical technique (Stehfest algorithm) by inverting the Laplace transform.