Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions-Reference-Cited by-同舟云学术

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

Published:2020-05-29 Issue:1 Volume:6 Page:62-75
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Zahed Ahmed¹,Hamani Samira¹,Henderson Johnny²

Affiliation:

1. Laboratoire des Mathematiques Appliqués et Pures , Université de Mostaganem . B.P. 227, 27000, Mostaganem , Algerie .

2. Department of Mathematics , Baylor University , Waco, Texas 76798-7328, USA .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2020-0006

Reference21 articles.

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2. [2] R. P Agarwal, M. Benchohra and S. Hamani, Boundary value problems for fractional differential inclusions, Adv.Stud. Contemp. Math.16, No. 2 (2008), 181-196.

3. [3] R. P Agarwal, M. Benchohra and S. Hamani, A survey on existence results for boundary value problems for nonlinear fractional differential equations and inclusions, Acta Applicandae Math.109, No. 3 (2010), 973-1033.

4. [4] J. P. Aubin and A. Cellina, Differential Inclusions Springer-Verlag, Berlin-Heidelberg, New York, 1984.

5. [5] J.P. Aubin and H. Frankowska, Set-Valued Analysis, Birkhauser, Boston, 1990.

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