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

Karim Aggoun

Karim Aggoun

Department of Mathematics,Laboratory of Dynamical Systems and Control, University Larbi Ben M’hidiOum El Bouaghi, Algeria
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Aggoun, Karim
 e 
Ahcene Merad

Ahcene Merad

Department of Mathematics,Laboratory of Dynamical Systems and Control, University Larbi Ben M’hidiOum El Bouaghi, Algeria
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Merad, Ahcene
  
30 apr 2021
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Pubblicato online: 30 apr 2021
Pagine: 400 - 412
Ricevuto: 14 nov 2020
Accettato: 31 mar 2021
DOI: https://doi.org/10.2478/mjpaa-2021-0027
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© 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.

Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Matematica, Analisi, Equazioni differenziali e sistemi dinamici, Probabilità e statistiche, Matematica numerica e computazionale
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