Collocation Approach for the Solution of Fredhlom Integro-Differential Equation of Fractional Order
1 Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria
2 Department of Mathematics, American University of Nigeria, Yola, Adamawa State, Nigeria
3 Department of Mathematics, Moddibo-Adama University, Yola, Nigeria
* Corresponding author: adewale.james@aun.edu.ng
2 Department of Mathematics, American University of Nigeria, Yola, Adamawa State, Nigeria
3 Department of Mathematics, Moddibo-Adama University, Yola, Nigeria
* Corresponding author: adewale.james@aun.edu.ng
Abstract
In this work, the collocation method is developed to solve
the fractional integro-differential equations using the Caputo sense. The integral form of the problem is obtained
and transformed into a system of linear algebraic equations. Computed results are solved using Maple 18 in
order to show the efficiency and accuracy of the method.
Keywords
Fredholm
Integro-differential equations; Collocation method; Fractional derivatives; Polynomial
How to Cite
Ganiyu, A., Adewale, J. A., & Abdullahi, A. M. (2022). Collocation Approach for the Solution of Fredhlom Integro-Differential Equation of Fractional Order. Nigerian Journal of Mathematics and Applications, 32(1), 216-233. https://doi.org/10.67897/njma.2022.9t4m6gdx
A. Ganiyu, J. A. Adewale, and A. M. Abdullahi, "Collocation Approach for the Solution of Fredhlom Integro-Differential Equation of Fractional Order," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 216-233, June 2022. doi: 10.67897/njma.2022.9t4m6gdx
