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

Authors

  • Amel Heris Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes
  • Abdelkrim Salim Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes;Faculty of Technology Hassiba Benbouali, University of Chlef
  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes

Keywords:

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

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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Published

2023-09-06

How to Cite

Heris, A., Salim, A., & Benchohra, M. (2023). Some new existence results for fractional partial random nonlocal differential equations with delay. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 22, 135–148. Retrieved from https://studmath.uken.krakow.pl/article/view/10476

Issue

Vol. 22 (2023)

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