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Existence and Regularity for Some Partial Neutral Functional Integrodifferential Equations with Nondense Domain

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Abstract

The paper is concerned with the study of some partial neutral functional integrodifferential equations with nondense domain. Using the integrated resolvent operator theory, we derive some results concerning the existence and regularity of solutions. Finally, an example is given to illustrate our theory.

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Acknowledgements

The authors would like to thank the referee for his careful reading of the manuscript. His valuable suggestions made numerous improvements throughout the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B. P. 2390, Marrakech, Morocco

    Khalil Ezzinbi

  2. Departement of Mathematics, Faculty of Sciences of Gafsa, Univesity of Gafsa, B. P. 2112, Gafsa, Tunisia

    Saifeddine Ghnimi

Authors
  1. Khalil Ezzinbi
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  2. Saifeddine Ghnimi
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Correspondence to Saifeddine Ghnimi.

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Communicated by Dr. Rosihan M. Ali.

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Ezzinbi, K., Ghnimi, S. Existence and Regularity for Some Partial Neutral Functional Integrodifferential Equations with Nondense Domain. Bull. Malays. Math. Sci. Soc. 43, 2967–2987 (2020). https://doi.org/10.1007/s40840-019-00847-0

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  • DOI: https://doi.org/10.1007/s40840-019-00847-0

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