Open AccessSolution of Fractional Order Differential Equation Problems by Triangular Functions for Biomedical Applications
Author(s) -
Anish Majumder,
Nilotpal Chakraborty,
Kisalaya Chakrabarti,
Anindita Ganguly
Publication year - 2022
Publication title -
international journal of computer and communication technology
Language(s) - English
Resource type - Journals
eISSN - 2231-0371
pISSN - 0975-7449
DOI - 10.47893/ijcct.2022.1419
Subject(s) - mathematics , laplace transform , differential equation , differential algebraic equation , fractional calculus , numerical partial differential equations , mathematical analysis , examples of differential equations , order (exchange) , ordinary differential equation , finance , economics
Fractional Order Differential equations are used for modelling of a wide variety of biological systems but the solution process of such equations are quite complex. In this paper Orthogonal Triangular functions and their operational matrices have been used for finding an approximate solution of Fractional Order Differential Equations. This technique has been found to be more powerful in solving Fractional Order Differential Equations owing to the fact that the differential equations are reduced to systems of algebraic equations which are easy to solve numerically and the percentage error is lower compared to other methods of solutions (like: Laplace Transform Method). Also due to the recursive nature of this method, it can also be concluded that this method is less complex and more efficient in solving varieties of the Fractional Order Differential Equations.