<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

Publié en ligne: 16 sept. 2023

Pages: 135 - 148

Reçu: 27 févr. 2023

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

Mots clés
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

Publié en ligne: 16 sept. 2023

Pages: 135 - 148

Reçu: 27 févr. 2023

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

Mots clésrandom 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.

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