作者： Wang, David G.L.¹;Zhang, Jerry J.R.²; （¹School of Mathematics and Statistics and Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, China;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China）

出处： Electronic Journal of Combinatorics 2020 Vol.27 No.2 P1-16

摘要： We give a new semi-combinatorial proof for the equality of the number of ballot permutations of length n and the number of odd order permutations of l ...

作者： Haq, Amin Ul¹;Li, Jianping¹;Memon, Muhammad Hammad¹;Khan, Jalaluddin¹;Ali, Zafar²;Abbas, Syed Zaheer³;Nazir, Shah⁴; （¹School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China;²School of Computer Science and Engineering Southeast University, Nanjing, China;³School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China;⁴Department of Computer Science, University of Swabi, Pakistan）

出处： Journal of Intelligent and Fuzzy Systems 2020 Vol.39 No.1 P1319-1339

摘要： Accurate and efficient recognition of Parkinson's disease is one of the prominent issues in the field of healthcare. To address this problem, differen ...

作者： Shahzad, Muhammad¹;Ali, Mehboob¹;Sultan, Faisal¹;Khan, Waqar Azeem²³; （¹Department of Mathematics and Statistics, Razara University, Mansehra, 21300, Pakistan;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;³Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, Azad Jammu & Kashmir, 12010, Pakistan）

出处： Scientia Iranica 2020 Vol.27 No.3 C P1293-1299

摘要： Many natural phenomena such as ecosystems, earth climate, animals, living cells, and human brain are characterized each by their own complex behavior. ...

作者： Asghar, Zeeshan¹;Kousar, Muneeba²;Waqas, Muhammad Khurram¹;Irfan, Muhammad Haris³;Bilal, Muhammad²;Khan, Waqar Azeem⁴; （¹NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, 44000, Pakistan;²Department of Mathematics and Statistics, The University of Lahore Gujrat Campus, Gujrat, 50700, Pakistan;³Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan;⁴School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.12 P4439-4444

摘要： We addressed mixed convected stretching flow considering Williamson liquid subjected to variable conductivity. Transportation of heat is investigated ...

作者： Irfan, Muhammad Haris¹²;Anwar, Muhammad Shoaib³;Rashid, Madiha¹;Waqas, Muhammad Khurram⁴;Khan, Waqar Azeem⁵; （¹Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan;²Department of Mathematical Sciences Federal, Urdu University of Arts, Sciences and Technology, Islamabad, 44000, Pakistan;³Department of Mathematics, University of Jhang, Gojra Road, Jhang, 35200, Pakistan;⁴NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, 44000, Pakistan;⁵School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.12 P4403-4413

摘要： This exertion is part of a liable approach for the advancement of nanotechnology and nanoscience to scrutinize the thermal and rheological aspects of ...

作者： Irfan, Muhammad Haris¹²;Khan, Waqar Azeem³;Khan, Masood Waleed Ahmed¹;Waqas, Muhammad Khurram⁴; （¹Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan;²Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Islamabad, 44000, Pakistan;³School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;⁴NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, 44000, Pakistan）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.12 P5279-5289

摘要： The thermal features of nanoparticles have a dynamic role in medical, electrical, optical, built-up, and energy area, and compromise the potential to ...

作者： Sultan, Faisal¹;Shahzad, Muhammad¹;Ali, Mehboob¹;Adnan, Wajiha¹;Khan, Waqar Azeem²; （¹Department of Mathematics and Statistics, Hazara University, Mansehra, 21300, Pakistan;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.12 P5247-5252

摘要： Mathematically, the complex reactions can be simplified through different linear/non-linear algebraic techniques that are the easiest way to balance t ...

作者： Irfan, Muhammad Haris¹²;Rafiq, Kiran¹;Khan, Waqar Azeem³;Khan, Masood Waleed Ahmed¹; （¹Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan;²Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences and Technology, Islamabad, 44000, Pakistan;³School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.8 P3075-3084

摘要： In thoughtfulness of researchers and technologists in the arena of nanoscience and nanotechnology owing to reduced thermal properties of the usual bas ...

作者： Irfan, Muhammad Haris¹²;Khan, Masood Waleed Ahmed¹;Khan, Waqar Azeem³;Rafiq, Kiran¹; （¹Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan;²Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences and Technology, Islamabad, 44000, Pakistan;³School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.8 P3021-3033

摘要： The development of ground-breaking solar power technologies is considered to be one of the critical clarifications towards satisfying an increasing de ...

作者： Sultan, Faisal¹;Mustafa, Soma¹;Khan, Waqar Azeem²;Shahzad, Muhammad¹;Ali, Mehboob¹;Adnan, Wajiha¹;Rehman, Sumaira³; （¹Department of Mathematics, Hazara University, Mansehra, 21300, Pakistan;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;³Institute of Mathematics and Statistics, Tartu University, J. Liivi 2, Tartu, 50409, Estonia）

出处： Applied Nanoscience (Switzerland) 2020 Vol.10 No.8 P3295-3303

摘要： Here, a moving permeable surface for the mixed convective flow of Carreau nanofluid with thermal radiation is considered in detail along with the vari ...