Open AccessSolution of Multi-order Fractional Differential Equation Based on Conformable Derivative by Shifted Legendre Polynomial
Author(s) -
Salim S. Mahmood,
Kamaran J. Hamad,
Milad A. Kareem,
Asrin F. Shex
Publication year - 2021
Publication title -
cihan university-erbil scientific journal
Language(s) - English
Resource type - Journals
eISSN - 2707-6377
pISSN - 2519-6979
DOI - 10.24086/cuesj.v5n2y2021.pp64-68
Subject(s) - conformable matrix , legendre polynomials , mathematics , polynomial , legendre's equation , order (exchange) , differential equation , variable (mathematics) , mathematical analysis , function (biology) , linear differential equation , derivative (finance) , physics , finance , quantum mechanics , evolutionary biology , financial economics , economics , biology
The aim of this article is the way for finding approximation solution of multi-order fractional differential equation with conformable sense with use approximated function by shifted Legendre polynomial, the method is easy and powerful for get our results of the linear and non-linear equation, the background idea behind this method is finding system of algebra after achieving messing variable is that mean obtain approximate solution, a few examples illustrates for presented how much our method is capable.