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Some Existence Results on Impulsive Differential Equations

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Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

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Abstract

We prove the existence and uniqueness of piecewise continuous (\({\mathcal P}{\mathcal C}\)) mild solutions to fractional impulsive differential equations in a Banach space are established. We use the theory of semigroup of almost sectorial operators and the fixed point theorem.

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Acknowledgements

The work is supported by the Grant No. SERB/F/\(12082/2018-2019\) and NBHM Grant No.02011/9/2019 NBHM(R. P.)/R. and D. II/1324.

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Authors and Affiliations

  1. Tezpur University, Tezpur, 784028, Assam, India

    Rajib Haloi

Authors
  1. Rajib Haloi
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Correspondence to Rajib Haloi .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  2. School of Computing and Information Systems, University of Melbourne, Melbourne, VIC, Australia

    Rajkumar Buyya

  3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    S. Ponnusamy

  4. Department of Computer Science and Engineering, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debashis De

  5. Unconventional Computing Laboratory, Department of Computer Science and Creative Technologies, University of the West of England, Bristol, UK

    Andrew Adamatzky

  6. Faculty of Science, Engineering and Built Environment, Deakin University Geelong, Geelong, VIC, Australia

    Jemal H. Abawajy

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Haloi, R. (2021). Some Existence Results on Impulsive Differential Equations. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_44

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