On Theoretical and Numerical Aspect of Fractional Differential Equations with Purely Integral Conditions

Autor:	Brahimi, Saadoune, Merad, Ahcene, Kilicman, Adem
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis Mathematics - Analysis of PDEs 35L10 35L20 35L99 35D30 34B10
Druh dokumentu:	Working Paper
Popis:	In this paper, we are interested in the study of a problem with fractional derivatives having boundary conditions of integral types. The problem represents a Caputo type advection-diffusion equation where the fractional order derivative with respect to time with $1<\alpha <2$. The method of the energy inequalities is used to prove the existence and the uniqueness of solutions of the problem. The finite difference method is also introduced to study the problem numerically in order to find an approximate solution of the considered problem. Some numerical examples are presented to show satisfactory results. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.11167 Zobrazit plný text záznamu View this record from Arxiv