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Local Fractional Calculus to Design the Growth System of Covid-19 Using Measure of Non-compactness

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Book cover Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact

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Abstract

In this chapter, we use the concept of local fractional calculus and measure of non-compactness to design the growth system of Covid-19. To achieve this, we establish a fixed point and coupled fixed point theorems for new \(\mu \)-set contraction condition in partially ordered Banach spaces, whose positive cone \(\mathbb {K}\) is normal. We provide adequate examples to validate the epidemic dynamics with graphical presentations. We also use present available data to validate it.

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Acknowledgements

We are grateful to the learned referee for useful suggestions which helped us to improve the text.

Author information

Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, TN, India

    Hemant Kumar Nashine

  2. Department of Pure and Applied Mathematics, Faculty of science, University of Johannesburg, P O Box 524, Auckland Park, 2006, South Africa

    Hemant Kumar Nashine

  3. Nonlinear Dynamics Research Center (NDRC), Ajman University, 346, Ajman, UAE

    Rabha W. Ibrahim

Authors
  1. Hemant Kumar Nashine
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  2. Rabha W. Ibrahim
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Corresponding authors

Correspondence to Hemant Kumar Nashine or Rabha W. Ibrahim .

Editor information

Editors and Affiliations

  1. Anand International College of Engineering, Jaipur, Rajasthan, India

    Praveen Agarwal

  2. Institute of Mathematics, University of Santiago de Compostela, Santiago, Spain

    Juan J. Nieto

  3. Mathematical Sciences, Queen Mary University of London, London, UK

    Michael Ruzhansky

  4. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Delfim F. M. Torres

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Nashine, H.K., Ibrahim, R.W. (2021). Local Fractional Calculus to Design the Growth System of Covid-19 Using Measure of Non-compactness. In: Agarwal, P., Nieto, J.J., Ruzhansky, M., Torres, D.F.M. (eds) Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-16-2450-6_20

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