Weak solutions for fractional Langevin equations involving two fractional orders in banach spaces

In this paper, we look at the existence of weak solutions for fractional Langevin equations with two fractional orders in Banach spaces. The major results are demonstrated by combining Mönch’s fixed point theorem with the technique of measures of weak noncompactness. Furthermore, an example is prese...

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Veröffentlicht in:Afrika mathematica 2023-03, Vol.34 (1), Article 1
Hauptverfasser: Derbazi, Choukri, Hammouche, Hadda, Salim, Abdelkrim, Benchohra, Mouffak
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we look at the existence of weak solutions for fractional Langevin equations with two fractional orders in Banach spaces. The major results are demonstrated by combining Mönch’s fixed point theorem with the technique of measures of weak noncompactness. Furthermore, an example is presented to show how our findings can be applied.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-022-01035-3