Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness

Sina Etemad, Mohammed M. Matar, Maria Alessandra Ragusa and Shahram Rezapour
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Sina Etemad: Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran
Mohammed M. Matar: Department of Mathematics, Al-Azhar University-Gaza, Gaza P.O. Box 1277, Palestine
Maria Alessandra Ragusa: Dipartimento di Matematica e Informatica, Universita di Catania, Viale Andrea Doria 6, 95125 Catania, Italy
Shahram Rezapour: Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran

Mathematics, 2021, vol. 10, issue 1, 1-17

Abstract: 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.

Keywords: tripled system; impulsive conditions; caputo derivative; tripled fixed point; measures of noncompactness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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