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  • KairatEqs22 10 2023

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    Exact soliton solutions of M-fractional Kairat-II and Kairat-X equations via


    three analytical methods

    Preprint · October 2023


    DOI: 10.13140/RG.2.2.18605.26080

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    Exact soliton solutions of M-fractional Kairat-II
    and Kairat-X equations via three analytical
    methods
    Muath Awadalla1, *, Asim Zafar2 , Aigul Taishiyeva3 ,
    Muhammad Raheel2 , Ratbay Myrzakulov3 , Ahmet Bekir4, „
    1
    Department of Mathematics and Statistics, College of Science, King Faisal University,
    Hofuf, Al Ahsa 31982, Saudi Arabia
    2
    Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan.
    3
    Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan.
    4
    Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey.
    Email (Muath Awadalla): mawadalla@kfu.edu.sa
    Email (Asim Zafar): asimzafar@hotmail.com
    Email (Aigul Taishiyeva): Aigulustaz@gmail.com
    Email (Muhammad Raheel): mraheelmphil.math@gmail.com
    Email(Ratbay Myrzakulov): rmyrzakulov@gmail.com
    Email (Ahmet Bekir): bekirahmet@gmail.com

    Abstract
    This paper is concerned with the new exact soliton solutions of the truncated M-
    fractional Kairat-II equation (K-IIE) and Kairat-X equation (K-XE). To obtain these
    results, we utilize th

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    Nazima Ellahi, Jamshaid ur Rehman, Numair Ahmad Sulehri, Muhammad Abrar Ahmad, Tanzeela Qureshi,Associate Professor, Department of Economics & Finance, Foundation University Islamabad, Pakistan, Assistant Professor, Department of Economics, Government College University Lahore, Pakistan, Assistant Professor, Department of Business Administration, Foundation University Islamabad, Pakistan,Assistant Professor, Department of History and Arts, Division of Arts and Social Sciences, University of Education, Lower Mall Campus, Lahore, Research Assistant, Department of Economics & Finance, Foundation University Islamabad, Email: nazimaellahi@yahoo.com, jamshaidrehman@gcu.edu.pk, sulehri39@gmail.com, royal_rana@hotmail.com, tanzeelaq@gmail.com

    Since the world has entered the second wave of COVID 19, empirical studies discussing the Covid-19 outbreak and its impact on stock market returns and liquidity are very limited. This study expects to fill the gap and aims to find the impact of the COVID 19 pandemic on stock market returns and the relationship between market liquidity and Pakistan's stock market returns. In general, it finds that the spread of COVID-19 had a statistically negative impact on daily market returns and liquidity. Pages 1 to 9 

     

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