
Muhammad Shoaib Arif
Articles
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Dec 1, 2024 |
mdpi.com | Muhammad Abbas |Reem K. Alhefthi |Daniele Ritelli |Muhammad Shoaib Arif
All articles published by MDPI are made immediately available worldwide under an open access license. No special permission is required to reuse all or part of the article published by MDPI, including figures and tables. For articles published under an open access Creative Common CC BY license, any part of the article may be reused without permission provided that the original article is clearly cited. For more information, please refer to https://www.mdpi.com/openaccess.
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Oct 3, 2024 |
mdpi.com | Muhammad Shoaib Arif |Ateeq ur Rehman |Daniyal Asif |Muhammad Shoaib
All articles published by MDPI are made immediately available worldwide under an open access license. No special permission is required to reuse all or part of the article published by MDPI, including figures and tables. For articles published under an open access Creative Common CC BY license, any part of the article may be reused without permission provided that the original article is clearly cited. For more information, please refer to https://www.mdpi.com/openaccess.
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Aug 30, 2023 |
mdpi.com | Muhammad Shoaib Arif
1. IntroductionPolymers are currently under extensive research for their potential applications across various fields such as packaging [1], aerospace [2], electronics [3], medical devices [4], and automotive [5]. These polymers are classified based on their structure into branched [6], linear [7], and cross-linked [8,9,10] types. The cross-linked polymer network systems that swell in a suitable liquid are known as “gels” [11].
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Feb 15, 2023 |
mdpi.com | Muhammad Shoaib Arif
This is an early access version, the complete PDF, HTML, and XML versions will be available soon. Open AccessArticlebyLei Shi 1 and Muhammad Arif 2,* 1School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China2Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan*Author to whom correspondence should be addressed. Fractal Fract.
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