<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

Publié en ligne: 30 avr. 2021

Pages: 400 - 412

Reçu: 14 nov. 2020

Accepté: 31 mars 2021

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

Mots clés
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

Publié en ligne: 30 avr. 2021

Pages: 400 - 412

Reçu: 14 nov. 2020

Accepté: 31 mars 2021

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

Mots clésTime 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.

Mots clés
Time fractional problem, A priori estimate, Boundary integral conditions