Titlebook: Mathematics Across Contemporary Sciences; AUS-ICMS, Sharjah, U Taher Abualrub,Abdul Salam Jarrah,Hana Sulieman Conference proceedings 2017

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On a New Class of Variational Problems,organic semi-conductors, molecular crystals and DNA. For some non-linearities covered by our class of functionals, the underlying PDEs model Ferro-Magnets and spin glasses. They also appear in the approximation of the Bose-Einstein condensation.

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,Hoffman’s Coclique Bound for Normal Regular Digraphs, and Nonsymmetric Association Schemes,quality. As a consequence, we characterize skew-Bush-type Hadamard matrices in terms of digraphs. We present some normal digraphs whose vertex set is decomposed into disjoint cocliques attaining the bound. The digraphs provided here are relation graphs of some nonsymmetric association schemes.

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An Interpolation-Based Approach to American Put Option Pricing,suggest multi-parameter extensions. Our result makes no assumption about the dynamics of the underlying asset, and is constructed to satisfy the necessary no-arbitrage conditions. Finally, we discuss potential applications.

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Optimal Drug Treatment in a Simple Pandemic Switched System Using Polynomial Approach, developed approach based on the theory of moments. This approach allows to transform a nonlinear, non-convex optimal control problem to an equivalent linear and convex one. To illustrate our finding, we used the example of influenza pandemic to compare the full treatment approach to our optimal moment and time switching solution.

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Partially Independent Random Variables, Such classes of random variables generalize various known models, like one-dependent processes. We determine existence conditions, showing that existence is decidable, and then interpret such conditions in terms of Dutch Books. As an example, a new low density based independence model is being deve

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Carcinogenesis

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