Fractional partial random differential equations with infinite delay

Fractional partial random differential equations with infinite delay

The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness.

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Veröffentlicht in:Results in physics 2022-06, Vol.37, p.105557, Article 105557
Hauptverfasser: Heris, Amel, Salim, Abdelkrim, Benchohra, Mouffak, Karapınar, Erdal
Format: Artikel
Sprache:eng
Schlagworte:
Caputo fractional order derivative
Darboux’s problem
Left-sided mixed Riemann–Liouville integral
Random differential equation
Unbounded delay
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Zusammenfassung:The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2022.105557