Existence and numerical solution of the Volterra fractional integral equations of the second kind

Atangana A.Bildik N.2024-07-222024-07-22201315635147http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17127This work presents the possible generalization of the Volterra integral equation second kind to the concept of fractional integral. Using the Picard method, we present the existence and the uniqueness of the solution of the generalized integral equation. The numerical solution is obtained via the Simpson 3/8 rule method. The convergence of this scheme is presented together with numerical results. © 2013 Abdon Atangana and Necdet Bildik.EnglishAll Open Access; Gold Open Access; Green Open AccessEngineeringMathematical techniquesFractional integral equationsFractional integralsNumerical resultsNumerical solutionPicard methodSecond kindsVolterraVolterra integral equationsIntegral equationsExistence and numerical solution of the Volterra fractional integral equations of the second kindArticle10.1155/2013/981526