This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.

�ber die Autorin bzw. den Autor

Jose A. Tenreiro Machado is a Professor at the Institute of Engineering, Polytechnic of Porto, Portugal; Necati �zdemir is a Professor with the Department of Mathematics, Balıkesir University, Balıkesir, Turkey; Dumitru Baleanu is a Professor with the Department of Mathematics, �ankaya University, Ankara, Turkey and the Institute of Space Sciences, Magurele-Bucharest, Romania.

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