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Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

Ahmed Zahed

Ahmed Zahed

Laboratoire des Mathematiques Appliqués et Pures, Université de MostaganemMostaganem,
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Zahed, Ahmed
, 
Samira Hamani

Samira Hamani

Laboratoire des Mathematiques Appliqués et Pures, Université de MostaganemMostaganem,
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Hamani, Samira
 and 
Johnny Henderson

Johnny Henderson

Department of Mathematics, Baylor University
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Henderson, Johnny
  
May 29, 2020
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Published Online: May 29, 2020
Page range: 62 - 75
Received: Feb 07, 2020
Accepted: Apr 10, 2020
DOI: https://doi.org/10.2478/mjpaa-2020-0006
Keywords
© 2020 Ahmed Zahed et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.

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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