Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations

Open Access

Original research article

Author(s):

Saïd Abbas^a, Mouffak Benchohra^b, Johnny Henderson^c, Jamal E. Lazreg^b

^a Laboratory of Mathematics, University of Saïda, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
^b Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
^c Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA

Advances in the Theory of Nonlinear Analysis and its Applications 1(2), 136-146.

Received: September 20, 2017

Accepted: December 7, 2017

Published: December 14, 2017

Abstract

In this paper, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of partial integral equations via Hadamard’s fractional integral, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem.

Keywords: Functional integral equation, coupled system, partial Pettis–Hadamard, fractional integral, measure of weak noncompactness, weak solution.

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APA Style

Abbas, S., Benchohra, M., Henderson, J., & Lazreg, J. E. (2017). Weak solutions for a coupled system of partial Pettis Hadamard fractional integral equations. Advances in the Theory of Nonlinear Analysis and its Application, 1(2), 136-146.