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Existence and Ulam’s Type Stability of Integro Differential Equation with Non-instantaneous Impulses and Periodic Boundary Condition on Time Scales

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Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 272))

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Abstract

The present manuscript is dedicated to the study of existence and stability of integro differential equation with periodic boundary condition and non-instantaneous impulses on time scales. Banach contraction theorem and non-linear functional analysis have been used to established these results. Moreover, to outline the utilization of these outcomes an example is given.

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Acknowledgements

We are extremely appreciative to the anonymous reviewers and editor which assist us with improving the original copy. The research of first author “Vipin Kumar” is supported by the University Grants Commission (UGC) of India under the fellowship number 2121540900, Ref. no. 20/12/2015 (ii) EU-V.

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Authors and Affiliations

  1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, HP, India

    Vipin Kumar & Muslim Malik

Authors
  1. Vipin Kumar
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  2. Muslim Malik
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Corresponding author

Correspondence to Muslim Malik .

Editor information

Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India

    Devendra Kumar

  3. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  4. Department of Mathematics, Cankaya University, Balgat, Ankara, Turkey

    Dumitru Baleanu

  5. Department of Mathematics, Rajasthan Technical University, Kota, Rajasthan, India

    Sunil Dutt Purohit

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Kumar, V., Malik, M. (2019). Existence and Ulam’s Type Stability of Integro Differential Equation with Non-instantaneous Impulses and Periodic Boundary Condition on Time Scales. In: Singh, J., Kumar, D., Dutta, H., Baleanu, D., Purohit, S. (eds) Mathematical Modelling, Applied Analysis and Computation. ICMMAAC 2018. Springer Proceedings in Mathematics & Statistics, vol 272. Springer, Singapore. https://doi.org/10.1007/978-981-13-9608-3_5

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