Modeling and analysis of Hepatitis B dynamics with vaccination and treatment with novel fractional derivative

• Anum Zehra,

  Roles Methodology, Software, Writing – original draft, Writing – review & editing

  Affiliation Department of Mathematics, The women university Multan, Multan, Pakistan

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• Saba Jamil,

  Roles Conceptualization, Writing – original draft, Writing – review & editing

  Affiliation Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan

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• Muhammad Farman ,

  Roles Software, Supervision, Writing – original draft

  * E-mail: farmanlink@gmail.com

  Affiliations Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia, Northern Cyprus, Turkey, Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

  https://orcid.org/0000-0001-7616-0500

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• Kottakkaran Sooppy Nisar

  Roles Methodology, Software, Writing – original draft, Writing – review & editing

  Affiliation Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

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