Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness

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Abstract

In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer fractional evolution system with infinite delay via measures of noncompactness. Fractional calculus and fixed-point approach are taken into consideration to study the primary outcomes. Finally, we extend the results to the existence of a neutral system with nonlocal conditions. Ultimately, a model is presented for illustration of theory.

Original languageEnglish
Pages (from-to)1438-1455
Number of pages18
JournalMathematical Methods in the Applied Sciences
Volume44
Issue number2
DOIs
StatePublished - 30 Jan 2021

Keywords

  • Hilfer fractional evolution system
  • measures of noncompactness
  • mild solutions
  • neutral system
  • nonlocal conditions

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