Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method
In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the unique...
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Sakarya University
2021-02-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1236013 |
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| author | Nihan Güngör |
| author_facet | Nihan Güngör |
| author_sort | Nihan Güngör |
| collection | DOAJ |
| description | In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method. |
| format | Article |
| id | doaj-art-1ef87c4b5c0b4937b100ece80fbfecaf |
| institution | Kabale University |
| issn | 2147-835X |
| language | English |
| publishDate | 2021-02-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-1ef87c4b5c0b4937b100ece80fbfecaf2024-12-23T08:07:40ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2021-02-0125115016210.16984/saufenbilder.77932528Solving Bigeometric Volterra Integral Equations by Using Successive Approximations MethodNihan Güngör0https://orcid.org/0000-0003-1235-2700GUMUSHANE UNIVERSITY, GUMUSHANE FACULTY OF ENGINEERING, MATHEMATICAL ENGINEERING PR.In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method.https://dergipark.org.tr/tr/download/article-file/1236013bigeometric calculusbigeometric volterra integral equationssuccessive approximations method |
| spellingShingle | Nihan Güngör Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi bigeometric calculus bigeometric volterra integral equations successive approximations method |
| title | Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method |
| title_full | Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method |
| title_fullStr | Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method |
| title_full_unstemmed | Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method |
| title_short | Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method |
| title_sort | solving bigeometric volterra integral equations by using successive approximations method |
| topic | bigeometric calculus bigeometric volterra integral equations successive approximations method |
| url | https://dergipark.org.tr/tr/download/article-file/1236013 |
| work_keys_str_mv | AT nihangungor solvingbigeometricvolterraintegralequationsbyusingsuccessiveapproximationsmethod |