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Positive Solutions of the Fractional Relaxation Equation Using Lower and Upper Solutions

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Abstract

In this paper, by means of some fixed point theorems, we establish the existence and uniqueness of positive solution of the fractional relaxation equation. The analysis is based on the method of upper and lower solutions. The results are illustrated by a numerical example using MATLAB.

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Authors and Affiliations

  1. Laboratory of Dynamic Systems, Houari Boumedienne University, Algiers, Algeria

    Amar Chidouh & Rachid Bebbouchi

  2. Laboratory of Advanced Materials, Badji Mokhtar-Annaba University, Annaba, Algeria

    Assia Guezane-Lakoud

Authors
  1. Amar Chidouh
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  2. Assia Guezane-Lakoud
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  3. Rachid Bebbouchi
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Correspondence to Amar Chidouh.

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Chidouh, A., Guezane-Lakoud, A. & Bebbouchi, R. Positive Solutions of the Fractional Relaxation Equation Using Lower and Upper Solutions. Vietnam J. Math. 44, 739–748 (2016). https://doi.org/10.1007/s10013-016-0192-0

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  • DOI: https://doi.org/10.1007/s10013-016-0192-0

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