Volume2 Issue12020-02-29T11:43:46+00:00

Volume 2: Issue 1

Volume 2: Issue 1

STABILITY, EXISTENCE AND UNIQUENESS OF A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

Areen Al-Khateeb1, Ayman A.hazaymeh 2,  Mowafaq al-tahat 3

1 Jadara University, Irbid, Jordan; areen.k@jadara.edu.jo;

2 Jadara University, Irbid, Jordan; aymanha@jadara.edu.jo;

   3 Jadara University, Irbid, Jordan; mwafag.tahat1997@gmail.com

In this article a coupled system of fractional differential equations with integral boundary conditions will be discussed. Currently we present three main result of this study: firstly, the uniqueness of solution for the given problem is established by applying contraction mapping principle. Secondly,Leray-Schauder’s alternative has been used to obtain the existence of solutions. Moreover, some necessary conditions for theHyers-Ulamtype stability to the solutions of the boundary value problem (BVPs) are developed. Finally the results are supported by examples.

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The Mathematical Errors of Infinity

Anthony C. Patton, San Diego, California, USA, pattonanthonyc@gmail.com

Philosophical analysis of infinity has identified multiple logical and metaphysical problems that warrant a response. However, mathematicians generally do not consider these criticisms valid or relevant and instead rely on supposed mathematical rigor to assess the validity or practical uses of infinity. Therefore, this paper will highlight three errors in the mathematics of infinity to address mathematicians on their own terms.

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