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

<p>The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution, then we prove the existence which is based on the range density of the operator associated with the problem.</p>
</abstract>

The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution, then we prove the existence which is based on the range density of the operator associated with the problem.

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

Department of Mathematics,Laboratory of Dynamical Systems and Control

Moroccan Journal of Pure and Applied Analysis

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

{"article-title":"On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions"}

The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of...

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

Published Online: Apr 30, 2021

Page range: 400 - 412

Received: Nov 14, 2020

Accepted: Mar 31, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0027

Keywords
Time fractional problem, A priori estimate, Boundary integral conditions

© 2021 Karim Aggoun et al., published by Sciendo

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

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

Published Online: Apr 30, 2021

Page range: 400 - 412

Received: Nov 14, 2020

Accepted: Mar 31, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0027

KeywordsTime fractional problem, A priori estimate, Boundary integral conditions

© 2021 Karim Aggoun et al., published by Sciendo

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

Keywords
Time fractional problem, A priori estimate, Boundary integral conditions