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### Co-authors

- Phakawat MosrijaiUniversity of PhayaoVerified email at live.up.ac.th
- Faisal YousafzaiAssistant Professor of Mathematics, NUST, Islamabad, PakistanVerified email at mce.nust.edu.pk
- Pachara JailokaChiang Mai University, 50200, Chiang Mai, ThailandVerified email at cmu.ac.th
- Metawee SongsaengStudent of Mathematics, University of PhayaoVerified email at live.up.ac.th
- Suthin ThongrakUniversity of phayao
- Arunothai KanlayaUniversity of phayao
- T. NagaiahAssistant professor, Department of mathematics, Kakatiya university, Telangana
- Akarachai SatiradStudent of Mathematic, University of Phayao
- Young Bae JunEmeritus Professor of Gyeongsang National University

Aiyared IAMPAN

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