Fractional Partial Random Differential Equations with State-Dependent Delay

Fractional Partial Random Differential Equations with State-Dependent Delay

In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.

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Veröffentlicht in:Analele Universității din Timișoara. Seria Matematică-informatică 2017-07, Vol.55 (1), p.21-35
Hauptverfasser: Benchohra, Mouffak, Heris, Amel
Format: Artikel
Sprache:eng
Schlagworte:
Caputo fractional order derivative
Darboux problem
left-sided mixed Riemann-Liouville integral
Measure of noncompactness
Random differential equation
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Zusammenfassung:In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.
ISSN:1841-3307
1841-3307
DOI:10.1515/awutm-2017-0002