Farida Belhannache, Samira Hamani, Johnny Henderson
Abstract:
In this article we use the method of lower and upper solutions combined
with the fixed point theorem by Bohnnenblust-Karlin to show the
existence of solutions for initial-value problems of impulsive
Caputo-Hadamard fractional differential inclusions of order in (0,1).
Submitted August 23, 2018. Published February 6, 2019.
Math Subject Classifications: 26A33, 34A37.
Key Words: Initial value problem; fractional differential equation;
impulsive equation; Caputo-Hadamard fractional derivative;
fractional integral; fixed point theorem; upper and lower solutions.
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| Farida Belhannache Department of Mathematics University Mohamed Seddik Ben Yahia-Jijel, 18000, Jijel, Algeria email: fbelhannache@yahoo.fr | |
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Samira Hamani Laboratoire des Mathématiques Appliqués et Pures Université de Mostaganem B.P. 227, 27000, Mostaganem, Algeria email: hamani_samira@yahoo.fr |
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Johnny Henderson Department of Mathematics Baylor University Waco, Texas 76798-7328, USA johnny_henderson@baylor.edu |
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