2026-10-23T18:48:25Zhttps://gumushane-rdlopen.rawdatalibrary.net/oai/request

oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/113962026-10-23T18:11:36Zopenairecom_gumushane_10000col_gumushane_10001com_gumushane_10007col_gumushane_10171

A note on linear non-Newtonian Volterra integral equationsGüngör, NihanAdomian decomposition methodNon-Newtonian calculusNon-Newtonian Volterra integral equationsSuccessive approximations method∗ -resolvent kernel methodIn this study, the Volterra integral equations are defined in the non-Newtonian calculus with the aid of ∗ -integral. The focus of this study is obtaining the solution of linear non-Newtonian integral equations. The ∗ -resolvent kernel method, successive approximations method and Adomian decomposition method are applied for solving non-Newtonian integral equations in the non-Newtonian sense. Some numerical examples are presented to explain the procedure of these methods. Finally, a model that describes a type of the exponential growth model is proposed in the sense of non-Newtonian calculus as an example.Springer Medizin2022Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/11396https://doi.org/10.1007/s40096-021-00427-z2008-1359enMathematical Sciencesinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/11396