On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions
oraz | 30 kwi 2021
O artykule
Data publikacji: 30 kwi 2021
Zakres stron: 400 - 412
Otrzymano: 14 lis 2020
Przyjęty: 31 mar 2021
DOI: https://doi.org/10.2478/mjpaa-2021-0027
Słowa kluczowe
© 2021 Karim Aggoun et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.