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Analytical investigation of nonlinear hybrid implicit functional differential inclusions of arbitrary fractional orders

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Here, in this article, we study some existence results of monotonic integrable solutions for a nonlinear hybrid implicit functional differential inclusion of arbitrary fractional orders. We derive the sufficient conditions for the uniqueness of the solution. We also prove the continuous dependence of the solution which we have presented here.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada

    H. M. Srivastava

  2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, ROC

    H. M. Srivastava

  3. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007, Baku, Azerbaijan

    H. M. Srivastava

  4. Section of Mathematics, International Telematic University Uninettuno, 00186, Rome, Italy

    H. M. Srivastava

  5. Faculty of Science, Alexandria University, Alexandria, 21500, Egypt

    A. M. A. El-Sayed & H. H. G. Hashem

  6. Faculty of Science, Lebanese International University, Saida, 1600, Lebanon

    Sh. M. Al-Issa

Authors
  1. H. M. Srivastava
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  2. A. M. A. El-Sayed
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  3. H. H. G. Hashem
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  4. Sh. M. Al-Issa
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Correspondence to H. M. Srivastava.

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Srivastava, H.M., El-Sayed, A.M.A., Hashem, H.H.G. et al. Analytical investigation of nonlinear hybrid implicit functional differential inclusions of arbitrary fractional orders. RACSAM 116, 26 (2022). https://doi.org/10.1007/s13398-021-01166-5

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  • DOI: https://doi.org/10.1007/s13398-021-01166-5

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