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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
  
Apr 30, 2021
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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
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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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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