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Asymptotically Almost Automorphic Solution for Neutral Functional Integro Evolution Equations 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 script is dedicated to look at the existence, uniqueness with stability consequence of asymptotically almost automorphic \((\mathcal {AAA})\) solution for integro neutral evolution equation on time scales by applying fixed point hypothesis. We give the time scale adaptation of \((\mathcal {AAA})\) functions. Toward the end, a precedent is given for the adequacy of the hypothetical outcomes.

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Authors and Affiliations

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

    Soniya Dhama & Syed Abbas

Authors
  1. Soniya Dhama
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  2. Syed Abbas
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Corresponding author

Correspondence to Syed Abbas .

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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Dhama, S., Abbas, S. (2019). Asymptotically Almost Automorphic Solution for Neutral Functional Integro Evolution Equations 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_7

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