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### Co-authors

- jamaludin alimathematical sciences, university sains malaysiaVerified email at usm.my
- Kenjiro T. MiuraProfessor of Mechanical Engineering, Shizuoka UniversityVerified email at shizuoka.ac.jp
- Muhammad YaseenUniversity of SargodhaVerified email at uos.edu.pk
- Shazalina Mat ZinSenior Lecturer, University Malaysia PerlisVerified email at unimap.edu.my
- Abd Rahni Mt PiahDRB-HICOM UNIVERSITY OF AUTOMOTIVE MALAYSIAVerified email at dhu.edu.my
- S.H.Yahaya, PhD, PTech (ME)SM Research Group, UTeMVerified email at utem.edu.my
- wan nurhadani wan jaafarLecturer, Universiti Malaysia PerlisVerified email at unimap.edu.my
- Syeda Tehmina EjazThe islamia University of BahawalpurVerified email at iub.edu.pk
- Ghulam Mustafa PhDProfessor of Mathematics, The Islamia University of BahawalpurVerified email at iub.edu.pk
- R.U. GobithaasanUniversity Malaysia TerengganuVerified email at umt.edu.my

Dr. Muhammad Abbas

Department of Mathematics, University of Sargodha, 40100 Sargodha, Pakistan

Verified email at uos.edu.pk