Feckan, Wang, and Pospisil present a broad variety of problems that appear when using fractional calculus and show how the the mathematical theory behind fractional calculus is non-trivial and beautiful. They write for graduate students, mathematicians, and researchers interested in fractional differences, and differential equations and applying fractional calculus in physics, mechanics, engineering, biology, economics, and other branches of science. Their topics are fractional difference equations, fractional integral equations, fractional differential equations, and fractional differential inclusions. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics.
Contents
Fractional Difference Equations
Fractional Integral Equations
Fractional Differential Equations
Fractional Evolution Equations: Continued
Fractional Differential Inclusions
