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Functional delay random semilinear differential equations

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Abstract

In this paper, we study the existence of integral solutions of a functional differential equation with delay and random effects. We base our arguments on some suitable random fixed point theorem with stochastic domain and the integrated semigroup.

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Funding

This research received no external funding.

Author information

Authors and Affiliations

  1. Laboratory of Mathematics, University of Sidi Bel-Abbès, PO Box 89, 22000, Sidi Bel-Abbès, Algeria

    Amel Benaissa, Abdelkrim Salim & Mouffak Benchohra

  2. Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151, 02000, Chlef, Algeria

    Abdelkrim Salim

  3. Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey

    Erdal Karapınar

  4. Department of Medical Research, China Medical University, Taichung, Taiwan

    Erdal Karapınar

Authors
  1. Amel Benaissa
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  2. Abdelkrim Salim
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  3. Mouffak Benchohra
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  4. Erdal Karapınar
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Contributions

The authors declare that the study was realized in collaboration with equal responsibility. all authors read and approved the final manuscript.

Corresponding author

Correspondence to Erdal Karapınar.

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Communicated by S Ponnusamy.

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Benaissa, A., Salim, A., Benchohra, M. et al. Functional delay random semilinear differential equations. J Anal 31, 2675–2686 (2023). https://doi.org/10.1007/s41478-023-00592-5

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  • DOI: https://doi.org/10.1007/s41478-023-00592-5

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