IfT (t) is a Co-semigroup on a Banach space X, then elementary examples show that the
adjoint semigroup T*(t) need not be a Co-semigroup. This gives rise to the basic problem of …

From the reviews:" Since E. Hille and K. Yoshida established the characterization of
generators of C0 semigroups in the 1940s, semigroups of linear operators and its …

Linear differential equations in Banach spaces are systematically treated with the help of
Laplace transforms. The central tool is an “integrated version” of Widder's theorem …

My purpose in this monograph is to present an essentially self-contained account of the
mathematical theory of Galerkin? nite element methods as appliedtoparabolicpartialdi …

The main purpose of this book was to explain deterministic, age-structured population
dynamics models that appear in demography and epidemiology. The first part of this book …

We dedicate this book to our family members who complete us. In particular, M. Benchohra's
dedication is to his wife, Kheira, and his children, Mohamed, Maroua, and Abdelillah; J …

In this article, the controllability results of the non-dense Hilfer neutral fractional derivative
(HNFD) are presented. The results are acknowledged using semigroup theory, fractional …

Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

This work presents a detailed study of linear abstract degenerate differential equations,
using both the semigroups generated by multivalued (linear) operators and extensions of …

In this manuscript, our primary focus on the approximate controllability outcomes for non‐
densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay …