Fractional evolution equations and applications

Aldryn Aparcana, Claudio Cuevas, Hernán Henríquez, Herme Soto

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


This work addresses the study of the Lp-boundedness and compactness of abstract linear and nonlinear fractional integro-differential equations. The analysis is performed for the whole range of values of p, ie, 1≤p≤+∞In addition, theoretical results are complemented with illustrating particular cases of systems modeled by fractional evolution equations as heat conduction problems and problems arising in the theory of viscoelastic materials.

Original languageEnglish
Pages (from-to)1256-1280
Number of pages25
JournalMathematical Methods in the Applied Sciences
Issue number3
StatePublished - 1 Feb 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
Copyright © 2017 John Wiley & Sons, Ltd.


  • compact sets of solutions
  • fractional differential equations
  • integral equations in abstract spaces
  • L-bounded solutions
  • mild solutions


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