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### Co-authors

- M. S. FaltasProfessor of Applied Mathematics, Alexandria UniversityVerified email at alexu.edu.eg
- Emad AshmawyAssociate Professor of Mathematics at Beirut Arab UniversityVerified email at bau.edu.lb
- N. M. El-MaghrabyArab Academy for Science And Technology & Maritime TransportVerified email at aast.edu
- E.I. SaadDepartment of Mathematics, Faculty of Science, Damanhour UniversityVerified email at sci.dmu.edu.eg
- Ahmed M. A. El-SayedAlexandria university, Faculty of Science, Mathematics and computer science departmentVerified email at alexu.edu.eg
- Waleed Ezzat RaslanMansoura UniversityVerified email at mans.edu.eg
- Eman husseinDamanhour University, Faculty of ScienceVerified email at sci.dmu.edu.eg
- Allam Abdelaziz AllamAssociate professor of mathematics at Arab academy for science and technologyVerified email at aast.edu
- Shreen El-Sapa (El-Sapa, Shreen)Department of Mathematics, Faculty of Science, Damanhour University; Princess Nourah bintVerified email at sci.dmu.edu.eg
- Ahmed Mohamed Abdel-hameid(KSU (Preparatory yearVerified email at ksu.edu.sa
- M. N. M. AllamMathematics Department, Faculty of Science, Mansoura University. Mansoura 35516, EgyptVerified email at mans.edu.eg
- Mohammed A. ElhagaryMathematics Department, Faculty of science, Damietta University, EgyptVerified email at du.edu.eg
- S. H. BehiryProfessor of Engineering MathematicsVerified email at kau.edu.sa
- A. M. Abd El-LatiefUniversity of Alexandria
- Farid A. HamzaUniversity of Alexandria