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New results on controllability in the framework of fractional integrodifferential equations with nondense domain

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Abstract.

This study reveals the fractional integrodifferential equation with nondense nature in the Banach space. We acknowledge the existence of a control term by the Mönch fixed point theorem and noncompact measure. An illustration is offered to validate our analytical results.

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Authors and Affiliations

  1. Department of Mathematics, Sri Eshwar College of Engineering (Autonomous), 641 202, Coimbatore, Tamil Nadu, India

    K. Jothimani

  2. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, 600 005, Chennai, Tamil Nadu, India

    K. Kaliraj

  3. Department of Mathematics, Faculty of sciences and Techniques Errachidia, BP 509, 52000, Errachidia, Morocco

    Zakia Hammouch

  4. PG and Research Department of Mathematics, Kongunadu Arts and Science College (Autonomous), 641 029, Coimbatore, Tamil Nadu, India

    C. Ravichandran

Authors
  1. K. Jothimani
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  2. K. Kaliraj
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  3. Zakia Hammouch
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  4. C. Ravichandran
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Correspondence to C. Ravichandran.

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Jothimani, K., Kaliraj, K., Hammouch, Z. et al. New results on controllability in the framework of fractional integrodifferential equations with nondense domain. Eur. Phys. J. Plus 134, 441 (2019). https://doi.org/10.1140/epjp/i2019-12858-8

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  • DOI: https://doi.org/10.1140/epjp/i2019-12858-8

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