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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
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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 avr. 2021
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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
© 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.

Langue:
Anglais
Périodicité:
3 fois par an
Sujets de la revue:
Mathématiques, Analyse, Équations différentielles et systèmes dynamiques, Probabilité et statistiques, Mathématiques numériques et computationnelles
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