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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Coupled Pettis-Hadamard Fractional Differential Systems with Retarded and Advanced Arguments

Saïd Abbas1, Mouffak Benchohra2 and Seenith Sivasundaram3
  • 1 Tahar Moulay University of Saïda, Algeria
  • 2 Djillali Liabes University of Sidi Bel-Abbes, Algeria
  • 3 College of Engineering Science and Mathematics, United States

Abstract

In this study, we present some results concerning the existence of weak solutions for some coupled systems of Hadamard fractional differential equations involving the both retarded and advanced arguments. Our results are obtained by using fixed point theory and the technique of measure of weak noncompactness.

Journal of Mathematics and Statistics
Volume 14 No. 1, 2018, 56-63

DOI: https://doi.org/10.3844/jmssp.2018.56.63

Submitted On: 25 December 2017 Published On: 10 February 2018

How to Cite: Abbas, S., Benchohra, M. & Sivasundaram, S. (2018). Coupled Pettis-Hadamard Fractional Differential Systems with Retarded and Advanced Arguments. Journal of Mathematics and Statistics, 14(1), 56-63. https://doi.org/10.3844/jmssp.2018.56.63

Open AccessCopyright: © 2018 Saïd Abbas, Mouffak Benchohra and Seenith Sivasundaram. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Functional Differential Equation
  • Left-Sided Mixed Pettis Hadamard Integral of Fractional Order
  • Pettis Hadamard Fractional Derivative
  • Coupled System
  • Retarded
  • Advanced
  • Weak Solution
  • Fixed Point