Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations

Open Access

Original research article

Author(s):

Wafaa Benhamida^a, Samira Hamani^a, Johnny Henderson^b

^a Laboratoire des Mathématiques Appliquées et Pures, Université de Mostaganem, Mostaganem, Algérie
^b Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA

Advances in the Theory of Nonlinear Analysis and its Applications 2(3), 138-145.

Received: May 10, 2018

Accepted: August 14, 2018

Published: August 16, 2018

Abstract

In this paper, we investigate the existence of solutions of a boundary value problem for Caputo–Hadamard fractional differential equations. Our analysis relies on classical fixed point theorems. Examples are given to illustrate our theoretical results.

Keywords: Fractional differential equation, Hadamard fractional derivative, Caputo–Hadamard fractional derivative, Hadamard fractional integral, fixed point.

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APA Style

Hamani, S., Benhamida, W., & Henderson, J. (2018). Boundary value problems for Caputo-Hadamard fractional differential equations. Advances in the Theory of Nonlinear Analysis and its Application, 2(3), 138-145.