Volume 68 | Issue 10 | Year 2022 | Article Id. IJMTT-V68I10P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I10P508

Received | Revised | Accepted | Published |
---|---|---|---|

08 Sep 2022 | 10 Oct 2022 | 21 Oct 2022 | 31 Oct 2022 |

The present article aims to study the types of linear integral equations, like" Fredholm integral equation" (FIE) and "Volterra integral equation" (VIE). Also Equivalence among Integral Equations and ordinary Differential Equations was studied. It was shown that there is relation between Reduction an Integral Equations to ordinary Differential Equations and vice versa. Some types of kernel of integral equations like" iterated kernel ", and " Resolved kernel " are mentioned by given some examples of these kernels. An analytical and numerical methods for solving the Fredholm integral equation was the method of successive approximations. Some examples about solving fredholm integral equation, Volterra integral equation are mentioned.

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Muntaha Khudair Abbass, "Study Equivalence Between the Solution of Integral Equations and Ordinary Differential Equations," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 68, no. 10, pp. 56-65, 2022. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V68I10P508