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

Amel Heris; Abdelkrim Salim; Mouffak Benchohra

doi:10.2478/aupcsm-2023-0011

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

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

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 22 (2023): Issue 1 (January 2023)

By: Amel Heris, Abdelkrim Salim and Mouffak Benchohra

Open Access

|Sep 2023

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.

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2023-0011 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 135 - 148

Submitted on: Feb 27, 2023

Published on: Sep 16, 2023

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

random differential equation,

left-sided mixed Riemann-Liouville integral,

Caputo fractional order derivative,

Darboux problem

Related subjects:

Mathematics,

General mathematics

© 2023 Amel Heris, Abdelkrim Salim, Mouffak Benchohra, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 22 (2023): Issue 1 (January 2023)