Some new existence results for fractional partial random nonlocal differential equations with delay-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:22 Page:135-148
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Heris Amel¹,Salim Abdelkrim²,Benchohra Mouffak³

Affiliation:

1. 1 Laboratory of Mathematics , Djillali Liabes University of Sidi Bel-Abbes , P.O. Box 89 , Sidi Bel-Abbes , , Algeria

2. 2 Laboratory of Mathematics , Djillali Liabes University of Sidi Bel-Abbes , P.O. Box 89 , Sidi Bel-Abbes , Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef, 02000 Algeria

3. 3 Laboratory of Mathematics , Djillali Liabes University of Sidi Bel-Abbes , P.O. Box 89 , Sidi Bel-Abbes , Algeria

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Psychiatry and Mental health

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2023-0011

Reference36 articles.

1. Abbas, Saïd, Dumitru Baleanu, and Mouffak Benchohra. “Global attractivity for fractional order delay partial integro-differential equations.” Adv. Difference Equ. (2012): Article No. 62. Cited on 135.

2. Abbas, Saïd, and Mouffak Benchohra. “Darboux problem for perturbed partial differential equations of fractional order with finite delay.” Nonlinear Anal. Hybrid Syst. 3, no. 4 (2009): 597-604. Cited on 135 and 139.

3. Abbas, Saïd, Mouffak Benchohra, John R. Graef, and Johnny Henderson. Implicit Fractional Differential and Integral Equations: Existence and Stability. Vol. 26 of De Gruyter Series in Nonlinear Analysis and Applications. Walter de Gruyter GmbH & Co KG, 2018. Cited on 135.

4. Abbas, Saïd, Mouffak Benchohra, and Gaston Mandata N’Guérékata. Topics in Fractional Differential Equations. Vol. 27 of Developments in Mathematics. Springer: New York, 2012. Cited on 135 and 139.

5. Abbas, Saïd, Mouffak Benchohra, and Gaston Mandata N’Guérékata. Advanced Fractional Differential and Integral Equations. Nova Science Publishers: New York, 2014. Cited on 135.