MMN-4540
Approximate solution of the conformable integro-differential equations
Handan Çerdik Yaslan;Abstract
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method.
Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is converted
to a conformable integral equation. Then, the conformable integral equation leads to an iteration sequence, the limit of which is a solution of the conformable integro-differential equation. In addition, stability and convergence analysis of the presented method are investigated. The applicability of the presented method is also shown by using numerical examples.
Vol. 26 (2025), No. 1, pp. 547-559