Adams explicit approach for the numerical solution of single-ordered fractional differential equations | [Journal of Natural & Applied Sciences Pakistan • 2024]

Author(s):

1. Shamaila Waheed: Department of Mathematics, Kinnaird College for Women, Lahore, Jail Road, Lahore, Pakistan.

2. Zeba Sohail: Department of Mathematics, Kinnaird College for Women, Lahore, Jail Road, Lahore, Pakistan.

3. Sadaf Butt: Department of Mathematics, Kinnaird College for Women, Lahore, Jail Road, Lahore, Pakistan.

4. Haleema Butt: Department of Mathematics, Kinnaird College for Women, Lahore, Jail Road, Lahore, Pakistan.

Abstract:

Fractional Differential Equations have lately enthralled many researchers due to its emerging use in almost every science related field. The aim of this paper is to derive fractional four step explicit Adams Bashforth method for solving some linear and nonlinear fractional differential equations of order a?(0,1) where the fractional derivatives are defined in Caputo sense. The numerical results for the derived method are compared with the exact solution for linear and nonlinear fractional differential equations by using absolute error at each integration point. The behavior of calculated solutions is tabulated and plotted at different values of fractional order a. Matlab is used in completing the required steps of the above procedures.

Page(s): 1988-2001

DOI: DOI not available

Published: Journal: Journal of Natural & Applied Sciences Pakistan, Volume: 6, Issue: 2, Year: 2024

Keywords:

Caputo fractional derivative , Linear nonlinear fractional differential equations , Lagrange interpolating polynomial , Fractional initial value problem IVP , Volterra Integral equation

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