Tripled fixed points and existence study to a tripled impulsive fractional differential system via measures of noncompactness

In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point and modulus of continuity. Our results are valid for both Kuratowski and Hausdorff measures of noncompactness. As an application, we apply the obtained results to a control problem. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Authors
Etemad S.1 , Matar M.M.2 , Ragusa M.A. 3, 4 , Rezapour S.1, 5
Journal
Mathematics
Publisher
MDPI AG
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.3390/math10010025
Number
25
Volume
10
Year
2022
Organizations
  • 1 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, 3751-71379, Iran
  • 2 Department of Mathematics, Al-Azhar University-Gaza, P.O. Box 1277, Gaza, Palestine
  • 3 Dipartimento di Matematica e Informatica, Universita di Catania, Viale Andrea Doria 6, Catania, 95125, Italy
  • 4 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 5 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan
Keywords
Caputo derivative; Impulsive conditions; Measures of noncompactness; Tripled fixed point; Tripled system
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84342/
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