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

Mathematics

Mohammed M. Matar¹  Sina Etemad²  Shahram Rezapour²  Maria Alessandra Ragusa³ 

[1] Department of Mathematics, Al-Azhar University-Gaza, Gaza P.O. Box 1277, Palestine;Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran;Dipartimento di Matematica e Informatica, Universita di Catania, Viale Andrea Doria 6, 95125 Catania, Italy;

关键词: tripled system;    impulsive conditions;    caputo derivative;    tripled fixed point;    measures of noncompactness;   

DOI  :  10.3390/math10010025

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown