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

<p>This article deals with a solvability for a problem of random fractional differential equations with <italic>n</italic> sequential derivatives and nonlocal conditions. The existence and uniqueness of solutions for the problem is obtained by using Banach contraction principle. New random data concepts for the considered problem are introduced and some related definitions are given. Also, some results related to the dependance on the introduced data are established for both random and deterministic cases.</p>
</abstract>

This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions. The existence and uniqueness of solutions for the problem is obtained by using Banach contraction principle. New random data concepts for the considered problem are introduced and some related definitions are given. Also, some results related to the dependance on the introduced data are established for both random and deterministic cases.

Nonlinear Random Differential Equations with <italic>n</italic> Sequential Fractional Derivatives

University Abdelhamid Bni Badis of Mostaganem

Faculty of Exact Sciences and Informatics Laboratory LMPA

Faculty of Exact Sciences and Informatics - Laboratory LMPA

Moroccan Journal of Pure and Applied Analysis

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

Nonlinear Random Differential Equations with  Sequential Fractional Derivatives

This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions. The...

Nonlinear Random Differential Equations with n Sequential Fractional Derivatives

Published Online: Jan 13, 2022

Page range: 1 - 21

Received: Nov 25, 2020

Accepted: Apr 16, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0001

Keywords
Mean square Caputo derivative, Random differential equation, Existence and uniqueness, Nonlocal condition, Sequential fractional differential equation

© 2022 Yfrah Hafssa et al., published by Sciendo

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

Nonlinear Random Differential Equations with n Sequential Fractional Derivatives

Published Online: Jan 13, 2022

Page range: 1 - 21

Received: Nov 25, 2020

Accepted: Apr 16, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0001

KeywordsMean square Caputo derivative, Random differential equation, Existence and uniqueness, Nonlocal condition, Sequential fractional differential equation

© 2022 Yfrah Hafssa et al., published by Sciendo

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

Keywords
Mean square Caputo derivative, Random differential equation, Existence and uniqueness, Nonlocal condition, Sequential fractional differential equation