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

<p>The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with finite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness. An illustration is given to show the applicability of our results.</p>
</abstract>

The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with finite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness. An illustration is given to show the applicability of our results.

Some new existence results for fractional partial random nonlocal differential equations with delay

Djillali Liabes University of Sidi Bel-Abbes

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with finite delay. The...

Some new existence results for fractional partial random nonlocal differential equations with delay

Published Online: Sep 16, 2023

Page range: 135 - 148

Received: Feb 27, 2023

DOI: https://doi.org/10.2478/aupcsm-2023-0011

Keywords
random differential equation, left-sided mixed Riemann-Liouville integral, Caputo fractional order derivative, Darboux problem

© 2023 Amel Heris et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Some new existence results for fractional partial random nonlocal differential equations with delay

Published Online: Sep 16, 2023

Page range: 135 - 148

Received: Feb 27, 2023

DOI: https://doi.org/10.2478/aupcsm-2023-0011

Keywordsrandom differential equation, left-sided mixed Riemann-Liouville integral, Caputo fractional order derivative, Darboux problem

© 2023 Amel Heris et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
random differential equation, left-sided mixed Riemann-Liouville integral, Caputo fractional order derivative, Darboux problem