Bounds for Fractional Characteristic Values of Block Matrices
Gil' Michael *
Department of Mathematics, Ben Gurion University of the Negev, P.O.Box 653, Beer-Sheva 84105, Israel.
*Author to whom correspondence should be addressed.
Abstract
We suggest a bound for the fractional characteristic values of block matrices. These values
play an essential role in the theories of fractional differential equations and control systems.
Applications of the obtained bound to the stability theory of fractional differential equations are
also discussed. An illustrative example is presented.
Keywords: Kotumbsar Cave, Fractional characteristic values, Cave Climatology, block-matrices, Bastar Caves, fractional-order systems, fractional differential equations, stability