Electron. J. Differential Equations, Vol. 2019 (2019), No. 22, pp. 1-13.

Upper and lower solutions methods for impulsive Caputo-Hadamard fractional differential inclusions

Farida Belhannache, Samira Hamani, Johnny Henderson

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.

Show me the PDF file (256 KB), TEX file for this article.

  Farida Belhannache
Department of Mathematics
University Mohamed Seddik
Ben Yahia-Jijel, 18000, Jijel, Algeria
email: fbelhannache@yahoo.fr
Samira Hamani
Laboratoire des Mathématiques Appliqués et Pures
Université de Mostaganem
B.P. 227, 27000, Mostaganem, Algeria
email: hamani_samira@yahoo.fr
Johnny Henderson
Department of Mathematics
Baylor University
Waco, Texas 76798-7328, USA

Return to the EJDE web page