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Boundary Value Problem for Caputo–Fabrizio Random Fractional Differential Equations

Fouzia Bekada

Fouzia Bekada

Laboratory of Mathematics, Tahar Moulay University of SaïdaSaïda, Algeria
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Bekada, Fouzia
, 
Saïd Abbas

Saïd Abbas

Department of Mathematics, Tahar Moulay University of SaïdaSaïda, Algeria
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Abbas, Saïd
 and 
Mouffak Benchohra

Mouffak Benchohra

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-AbbèsAlgeria
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Benchohra, Mouffak
  
Oct 02, 2020
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Published Online: Oct 02, 2020
Page range: 218 - 230
Received: Jun 25, 2020
Accepted: Aug 20, 2020
DOI: https://doi.org/10.2478/mjpaa-2020-0017
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© 2020 Fouzia Bekada et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This article deals with some existence of random solutions and Ulam stability results for a class of Caputo-Fabrizio random fractional differential equations with boundary conditions in Banach spaces. Our results are based on the fixed point theory and random operators. Two illustrative examples are presented in the last section.

Language:
English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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