Results 111 to 120 of about 4,735 (227)

New Study on the Controllability of Non-Instantaneous Impulsive Hilfer Fractional Neutral Stochastic Evolution Equations with Non-Dense Domain

Fractal and Fractional
The purpose of this work is to investigate the controllability of non-instantaneous impulsive (NII) Hilfer fractional (HF) neutral stochastic evolution equations with a non-dense domain. We construct a new set of adequate assumptions for the existence of
Gunasekaran Gokul, Barakah Almarri, Sivajiganesan Sivasankar, Subramanian Velmurugan, Ramalingam Udhayakumar   +4 more
doaj   +1 more source

Stability of coupled systems

Abstract and Applied Analysis, 1996
The exponential and asymptotic stability are studied for certain coupled systems involving unbounded linear operators and linear infinitesimal semigroup generators.
Farid Ammar Khodja, Assia Benabdallah, Djamel Teniou   +2 more
doaj   +1 more source

Ideals and Green's relations in ordered semigroups

International Journal of Mathematics and Mathematical Sciences, 2006
Exactly as in semigroups, Green's relations play an important role in the theory of ordered semigroups—especially for decompositions of such semigroups.
Niovi Kehayopulu
doaj   +1 more source

Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions

Electronic Journal of Differential Equations, 2009
We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are
Krishnan Balachandran, Francis Paul Samuel   +1 more
doaj  

New families of subordinators with explicit transition probability semigroup

, 2014
There exist only a few known examples of subordinators for which the transition probability density can be computed explicitly along side an expression for its Lévy measure and Laplace exponent.
Kuznetsov, Alexey, M Kwaśnicki, Kyprianou, A.E., Burridge, J., A Kuznetsov, Burridge, James, Kwaśnicki, M., A E Kyprianou, Kyprianou, A. E., J Burridge, Kuznetsov, A.   +10 more
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Some decay results in Timoshenko beam with microtemperatures of type III

Boundary Value Problems
The governing equations of the thermoelastic Timoshenko beam with microtemperatures are derived based on type III entropy balance. Our development of this theory is prompted by the increasing use of materials that exhibit thermal variations at the ...
Imed Kedim, Moncef Aouadi, Taoufik Moulahi   +2 more
doaj   +1 more source

Fractional Calculus for Non-Discrete Signed Measures

Mathematics
In this paper, we suggest a first-ever construction of fractional integral and differential operators based on signed measures including a vector-valued case. The study focuses on constructing the fractional power of the Riemann–Stieltjes integral with a
Vassili N. Kolokoltsov, Elina L. Shishkina   +1 more
doaj   +1 more source

Computational techniques in finite semigroup theory [PDF]

, 2018
A semigroup is simply a set with an associative binary operation; computational semigroup theory is the branch of mathematics concerned with developing techniques for computing with semigroups, as well as investigating semigroups with the help of ...
Wilson, Wilf A.
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Existence and uniqueness of mild and classical solutions of impulsive evolution equations

Electronic Journal of Differential Equations, 2005
We consider the non-linear impulsive evolution equation $$displaylines{ u'(t)=Au(t)+f(t,u(t),Tu(t),Su(t)), quad ...
Annamalai Anguraj, Mani Mallika Arjunan
doaj  

An application of semigroup theory to a fragmentation equation

, 2004
The process of fragmentation arises in many physical situations, including polymer degradation, droplet breakage and rock crushing and grinding. Under suitable assumptions, the evolution of the size distribution c(x, t), where x represents particle size ...
Lamb, W., Stewart, Iain W., Blair, P.N.
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