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

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dc.contributor.authorAtangana A.
dc.contributor.authorBildik N.
dc.date.accessioned2024-07-22T08:17:48Z
dc.date.available2024-07-22T08:17:48Z
dc.date.issued2013
dc.description.abstractThis 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.
dc.identifier.DOI-ID10.1155/2013/981526
dc.identifier.issn15635147
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17127
dc.language.isoEnglish
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.subjectEngineering
dc.subjectMathematical techniques
dc.subjectFractional integral equations
dc.subjectFractional integrals
dc.subjectNumerical results
dc.subjectNumerical solution
dc.subjectPicard method
dc.subjectSecond kinds
dc.subjectVolterra
dc.subjectVolterra integral equations
dc.subjectIntegral equations
dc.titleExistence and numerical solution of the Volterra fractional integral equations of the second kind
dc.typeArticle

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