Approximate Analytical Methods for the Solution of Fractional Order Integro-differential Equations
1 Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria
* Corresponding author: adedapo.alaje@pgc.uniosun.edu.ng
* Corresponding author: adedapo.alaje@pgc.uniosun.edu.ng
Abstract
In this paper, two numerical methods for obtaining the so
lution of fractional order integro-differential equations were
disscussed. The modified variational iteration method (MVIM)
which is a modified general Lagrange multiplier method and
the modified homotopy perturbation method (MHPM) were
applied to solve both linear and non-linear cases of fractional
order integro-differential equations.
Although the modified
variational iteration method accelerate fast in convergence
to the exact solution, the results obtained as presented on
numerical tables and graphs revealed that the two methods were
effective and of high accuracy for solving this type of problem.
Keywords
Integro-differential equations
Fractional integro-differential equation
Homotopy perturbation method
Variational iteration method
How to Cite
Alaje, A. I., Olayiwola, M. O., Ogunniran, M. O., Adedeji, J. A., & Adedokun, K. A. (2021). Approximate Analytical Methods for the Solution of Fractional Order Integro-differential Equations. Nigerian Journal of Mathematics and Applications, 31(1), 175−190. https://doi.org/10.67897/njma.2021.2vjmed5s
A. I. Alaje, M. O. Olayiwola, M. O. Ogunniran, J. A. Adedeji, and K. A. Adedokun, "Approximate Analytical Methods for the Solution of Fractional Order Integro-differential Equations," Nigerian Journal of Mathematics and Applications, vol. 31, no. 1, pp. 175−190, July 2021. doi: 10.67897/njma.2021.2vjmed5s
