<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

Fractional Partial Random Differential Equations with State-Dependent Delay

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"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...

Fractional Partial Random Differential Equations with State-Dependent Delay

Publié en ligne: 02 sept. 2017

Pages: 21 - 35

Reçu: 24 oct. 2016

Accepté: 23 déc. 2016

DOI: https://doi.org/10.1515/awutm-2017-0002

Mots clés
Random differential equation, Darboux problem, left-sided mixed Riemann-Liouville integral, Caputo fractional order derivative, Measure of noncompactness

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fractional Partial Random Differential Equations with State-Dependent Delay

Publié en ligne: 02 sept. 2017

Pages: 21 - 35

Reçu: 24 oct. 2016

Accepté: 23 déc. 2016

DOI: https://doi.org/10.1515/awutm-2017-0002

Mots clésRandom differential equation, Darboux problem, left-sided mixed Riemann-Liouville integral, Caputo fractional order derivative, Measure of noncompactness

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Random differential equation, Darboux problem, left-sided mixed Riemann-Liouville integral, Caputo fractional order derivative, Measure of noncompactness