Asymptotic Integration and Stability ― For Ordinary, Functional and Discrete Differential Equations of Fractional Order

Baleanu and Mustafa present their own findings and some by others during the past few years into fractional calculus, which is used to study the fractional order integral and derivative operator over real and complex domains. Their topics include, the existence and uniqueness of solutions for some delay differential equations with Caputo derivatives, the existence of positive solutions for some delay fractional differential equations with a generalized N-term, the stability of a class of discrete fractional non-autonomous systems, Razumikhin stability for fractional systems in the presence of delay, and the approximate controllability of Sobolev-type non-local fractional stochastic dynamic systems in Hilbert spaces. Annotation c2015 Ringgold, Inc., Portland, OR (protoview.com)