Optimal control solution for Pennes' equation using strongly continuous semigroup

Optimal control solution for Pennes' equation using strongly continuous semigroup

Iterative algorithm for strongly continuous semigroup of Lipschitz pseudocontraction mappings

In this paper, an implicit iterative process is considered for strongly continuous semigroup of Lipschitz pseudocontraction mappings. Weak and strong convergence theorems for common fixed points of strongly continuous semigroup of Lipschitz pseudocontraction mappings are established in a real Banach space. c ©2016 All rights reserved.

A unique continuous solution for the Bagley-Torvik equation

In this paper the Bagley-Torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. The results reveal that the present method is very effective and accurate.

A New Optimal Solution Concept for Fuzzy Optimal Control Problems

In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...

The Critical Spectrum of a Strongly Continuous Semigroup

For a strongly continuous semigroup (T (t))t≥0 with generator A we introduce its critical spectrum σcrit(T (t)). This yields in an optimal way the spectral mapping theorem σ(T (t)) = e ∪ σcrit(T (t)) and improves classical stability results.