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

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Johnny Henderson

Johnny Henderson

| May 29, 2020

Moroccan Journal of Pure and Applied Analysis's Cover Image

Moroccan Journal of Pure and Applied Analysis

Volume 6 (2020): Issue 1 (June 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
Existence, Hadamard-Caputo derivative, Fractional differential inclusions, Convex, Nonconvex, Integral boundary conditions

© 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.

eISSN:: 2351-8227
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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