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

Ahmed Zahed; Samira Hamani; Johnny Henderson

doi:10.2478/mjpaa-2020-0006

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

Moroccan Journal of Pure and Applied Analysis

Volume 6 (2020): Issue 1 (June 2020)

By: Ahmed Zahed, Samira Hamani and Johnny Henderson

Open Access

|May 2020

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2020-0006 | Journal eISSN: 2351-8227

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Language: English

Page range: 62 - 75

Submitted on: Feb 7, 2020

Accepted on: Apr 10, 2020

Published on: May 29, 2020

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Existence,

Hadamard-Caputo derivative,

Fractional differential inclusions,

Convex,

Nonconvex,

Integral boundary conditions

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2020 Ahmed Zahed, Samira Hamani, Johnny Henderson, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 6 (2020): Issue 1 (June 2020)