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General Fractional Derivatives - Theory, Methods and Applications (Hardcover)
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General Fractional Derivatives - Theory, Methods and Applications (Hardcover)
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General Fractional Derivatives: Theory, Methods and Applications
provides knowledge of the special functions with respect to another
function, and the integro-differential operators where the
integrals are of the convolution type and exist the singular,
weakly singular and nonsingular kernels, which exhibit the
fractional derivatives, fractional integrals, general fractional
derivatives, and general fractional integrals of the constant and
variable order without and with respect to another function due to
the appearance of the power-law and complex herbivores to figure
out the modern developments in theoretical and applied science.
Features: Give some new results for fractional calculus of constant
and variable orders. Discuss some new definitions for fractional
calculus with respect to another function. Provide definitions for
general fractional calculus of constant and variable orders. Report
new results of general fractional calculus with respect to another
function. Propose news special functions with respect to another
function and their applications. Present new models for the
anomalous relaxation and rheological behaviors. This book serves as
a reference book and textbook for scientists and engineers in the
fields of mathematics, physics, chemistry and engineering, senior
undergraduate and graduate students. Dr. Xiao-Jun Yang is a full
professor of Applied Mathematics and Mechanics, at China University
of Mining and Technology, China. He is currently an editor of
several scientific journals, such as Fractals, Applied Numerical
Mathematics, Mathematical Modelling and Analysis, International
Journal of Numerical Methods for Heat & Fluid Flow, and Thermal
Science.
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