World Scientific Publishing, 2018. — 288 p. — ISBN: 978-981-3227-52-1.
Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is NOT yet part of university teaching curricula. This book is one attempt to provide an approach to include topics of fractional calculus into university curricula. Additionally the material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics.
Vector/Matrix Derivatives and Optimization
Jacobians of Matrix Transformations and Functions of Matrix Argument
Fractional Calculus and Special Functions
Fractional Calculus and Fractional Differential Equations
Kober Fractional Calculus and Matrix-Variate Functions
Lie Theory and Special Functions
Selected Topics in Multivariate Analysis
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