Miskolc Mathematical Notes (Jan 2025)

Approximate solution of the conformable integro-differential equations

  • Handan Çerdik Yaslan

DOI
https://doi.org/10.18514/mmn.2025.4540
Journal volume & issue
Vol. 26, no. 1
p. 547

Abstract

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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.