<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

Published Online: Sep 02, 2017

Page range: 21 - 35

Received: Oct 24, 2016

Accepted: Dec 23, 2016

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

Keywords
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

Published Online: Sep 02, 2017

Page range: 21 - 35

Received: Oct 24, 2016

Accepted: Dec 23, 2016

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

KeywordsRandom 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.

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