Numerical solutions for linear fractional differential equation with dependence on the Caputo-Hadamard derivative using finite difference method.

Autor:	Bouchama, Kaouther, Merzougui, Abdelkrim, Arioua, Yacine
Předmět:	LINEAR differential equations FINITE difference method FINITE differences CAPUTO fractional derivatives FRACTIONAL differential equations
Zdroj:	Palestine Journal of Mathematics; 2022 Special Issue, Vol. 11, p28-36, 9p
Abstrakt:	The main objective of this paper is to find accurate solutions for linear fractional differential equations involving the fractional Caputo-Hadamard derivative of order > 0: Therefore, to achieve this objective, a new method called the Finite Fractional Difference Method (FFDM) is employed to find the numerical solution. As such, the convergence and stability of the numerical scheme is discussed and illustrated by solving two linear fractional differential equation problems of order 0 < 61 to show the validity of our method. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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