Results on existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type

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Abstract

In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type. By applying the facts related to the measure of noncompactness, fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.

Original languageEnglish
Article numbere22691
JournalNumerical Methods for Partial Differential Equations
Volume40
Issue number1
DOIs
StatePublished - Jan 2024

Keywords

  • Clarke's subdifferential type
  • controllability
  • existence
  • fractional evolution inclusions
  • measure of noncompactness
  • mild solutions

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