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On controllability for a class of multi-term time-fractional random differential equations with state-dependent delay

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Abstract

Under the situation that the nonlinear term is of Carathéodory type and satisfies some weakly compactness condition, controllability outcomes are obtained for a class of multi-term time-fractional random integro-differential equations with state-dependent delay by using Mönch’s fixed point theorem combined with a random fixed point theorem with stochastic domain, measure of noncompactness and \((\beta ,\gamma _k)\)-resolvent family theory. An example is included to illustrate the theory.

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Acknowledgements

Frederico acknowledges the financial support of the “Fundação Cearense de Apoio ao Desenvolvimento Científico tecnológico” (FUNCAP) Agency Processo No. BP4-00172-00054.02.00/20. We are grateful to the anonymous referees for the suggestions that improved the manuscript.

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Authors and Affiliations

  1. Laboratoire d’Analyse Numérique et Informatique, Département de Mathématiques, UFR SAT, Université Gaston Berger de Saint-Louis, B.P. 234, Saint-Louis, Senegal

    Amadou Diop

  2. Federal University of Ceará, Campus de Russas, Russa, 62900-000, Brazil

    Gastão S. F. Frederico

  3. Center for Mathematics, Computing and Cognition, Federal University of ABC, Avenida dos Estados, 5001, Bairro Bangu, 09.210-580, Santo Andre, SP, Brazil

    J. Vanterler da C. Sousa

Authors
  1. Amadou Diop
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  2. Gastão S. F. Frederico
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  3. J. Vanterler da C. Sousa
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Correspondence to J. Vanterler da C. Sousa.

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Communicated by Constantin Niculescu.

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Diop, A., Frederico, G.S.F. & Sousa, J.V.d.C. On controllability for a class of multi-term time-fractional random differential equations with state-dependent delay. Ann. Funct. Anal. 13, 20 (2022). https://doi.org/10.1007/s43034-022-00165-w

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  • DOI: https://doi.org/10.1007/s43034-022-00165-w

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