<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Boundary Value Problem for Caputo–Fabrizio Random Fractional Differential Equations

Djillali Liabes University of Sidi Bel-Abbès

Moroccan Journal of Pure and Applied Analysis

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...

Boundary Value Problem for Caputo–Fabrizio Random Fractional Differential Equations

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

Keywords
Fractional differential equation, Caputo–Fabrizio integral of fractional order, Caputo–Fabrizio fractional derivative, Random solution, Ulam stability, fixed point

© 2020 Fouzia Bekada et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Boundary Value Problem for Caputo–Fabrizio Random Fractional Differential Equations

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

KeywordsFractional differential equation, Caputo–Fabrizio integral of fractional order, Caputo–Fabrizio fractional derivative, Random solution, Ulam stability, fixed point

© 2020 Fouzia Bekada et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Fractional differential equation, Caputo–Fabrizio integral of fractional order, Caputo–Fabrizio fractional derivative, Random solution, Ulam stability, fixed point