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### Co-authors

- Dr. Moin-ud-Din JunjuaPostdoctoral Fellow, School of Mathematical Sciences, Zhejiang Normal University, Jinhua, ChinaVerified email at zjnu.edu.cn
- Naila Rafiq, Assistant ProfessorDepartment of Mathematics, National University of Modern Languages, Islamabad.Verified email at numl.edu.pk
- Dumitru BaleanuLebanese American University,Beirut, Professor at Institute of Space Sciences,BucharestVerified email at lau.edu.lb
- Dr. Fiza ZafarAssociate Professor, CASPAM, Bahauddin Zakariya University, Multan, PakistanVerified email at bzu.edu.pk
- Prof(Dr). K S Nisar (Kottakkaran Soop...Professor of Applied Mathematics, Prince Sattam bin Abdulaziz UniversityVerified email at psau.edu.sa
- Dr. Abdul GhaffarGhazi University, Dera Ghazi Khan, PakistanVerified email at gudgk.edu.pk
- Humaira KalsoomNanjing Forestry University, ChinaVerified email at zju.edu.cn
- Saima RashidGovernment College University, Faisalabad,PakistanVerified email at gcuf.edu.pk
- Sarfaraz AhmedAssistant Professor of Mathematics, Government College University Faisalabad (Layyah Campus)Verified email at cuilahore.edu.pk
- Muhammad IdreesZhejiang universityVerified email at zju.edu.cn
- Othman Abdullah AlmatroudAssociate Professor of Mathematical Analysis, University of Ha'il, Saudi Arabia.Verified email at uoh.edu.sa
- Pakeeza AshrafGovt. Sadiq College Women University, BahawalpurVerified email at gscwu.edu.pk
- Muhammad Aqeel Ahmad KhanDepartment of Mathematics, The Islamia University of Bahawalpur, PakistanVerified email at iub.edu.pk
- Prof Dr Thabet AbdeljawadPrince Sultan UniversityVerified email at psu.edu.sa
- Allah NawazCentre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University, Multan
- Muhammad RizwanLecturer Mathematics, Jubail Industrial CollegeVerified email at jic.edu.sa
- Dr. Muhammad Kamran Liaqat BhattiNFC IET MultanVerified email at nfciet.edu.pk
- Mughees RiazLab Engineer (Electrical), NFC IET MultanVerified email at nfciet.edu.pk

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saima akram

Professor of Mathematics, Department of Mathematics, Government College Women University Faisalabad

Verified email at gcwuf.edu.pk