scholarly journals Conformable Fractional Cosine Families of Operators

2019 ◽  
pp. 112-116
Author(s):  
Elomari M'hamed
Keyword(s):  
Cosine Families ◽  
Families Of Operators

scholarly journals Controllability of Second-Order Semilinear Impulsive Stochastic Neutral Functional Evolution Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Lei Zhang ◽  
Yongsheng Ding ◽  
Tong Wang ◽  
Liangjian Hu ◽  
Kuangrong Hao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Evolution Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Functional Evolution ◽  
Cosine Families ◽  
Families Of Operators ◽  
Sadovskii Fixed Point Theorem ◽  
Stochastic Functional

We consider a class of impulsive neutral second-order stochastic functional evolution equations. The Sadovskii fixed point theorem and the theory of strongly continuous cosine families of operators are used to investigate the sufficient conditions for the controllability of the system considered. An example is provided to illustrate our results.

scholarly journals Existence of Solutions of a Class of Abstract Second Order Nonlinear Integrodifferential Equations

2002 ◽  
Vol 15 (2) ◽  
pp. 115-124 ◽  
Author(s):  
K. Balachandran ◽  
J. Y. Park
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Second Order ◽  
Integrodifferential Equations ◽  
Cosine Families ◽  
Schaefer Fixed Point Theorem ◽  
Families Of Operators

In this paper we prove the existence of solutions of nonlinear second order integrodifferential equations in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of operators and the Schaefer fixed point theorem.

scholarly journals Cosine families of operators in a class of Fréchet spaces

2018 ◽  
Vol 37 (1) ◽  
pp. 103-118 ◽  
Author(s):  
Rachid Ameziane Hassani ◽  
Aziz Blali ◽  
Abdelkhalek El Amrani ◽  
Khalil Moussaouja
Keyword(s):  
Fréchet Spaces ◽  
Cosine Families ◽  
Families Of Operators

scholarly journals Results on the approximate controllability of fractional hemivariational inequalities of order $1< r<2$

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
M. Mohan Raja ◽  
V. Vijayakumar ◽  
Le Nhat Huynh ◽  
R. Udhayakumar ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Fixed Point ◽  
Control Systems ◽  
Approximate Controllability ◽  
Hemivariational Inequalities ◽  
Evolution Inclusions ◽  
Fractional Systems ◽  
Cosine Families ◽  
Fixed Point Approach ◽  
Semilinear Control Systems ◽  
Theoretical Results

AbstractIn this paper, we investigate the approximate controllability of fractional evolution inclusions with hemivariational inequalities of order $1< r<2$ 1 < r < 2 . The main results of this paper are verified by using the fractional theories, multivalued analysis, cosine families, and fixed-point approach. At first, we discuss the existence of the mild solution for the class of fractional systems. After that, we establish the approximate controllability of linear and semilinear control systems. Finally, an application is presented to illustrate our theoretical results.

Asymptotically commuting families of operators

1990 ◽  
Vol 65 (1) ◽  
pp. 672-679
Author(s):  
Arthur Jaffe ◽  
Slawomir Klimek ◽  
Andrzej Lesniewski
Keyword(s):  
Families Of Operators

scholarly journals Existence of Mild Solutions to Nonlocal Fractional Cauchy Problems via Compactness

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Rodrigo Ponce
Keyword(s):  
Banach Spaces ◽  
Fractional Derivatives ◽  
Mild Solutions ◽  
Cauchy Problems ◽  
Families Of Operators ◽  
Resolvent Families

We obtain characterizations of compactness for resolvent families of operators and as applications we study the existence of mild solutions to nonlocal Cauchy problems for fractional derivatives in Banach spaces. We discuss here simultaneously the Caputo and Riemann-Liouville fractional derivatives in the cases0<α<1and1<α<2.

Some families of operators

2016 ◽  
pp. 60-95
Author(s):  
Emmanuel Fricain ◽  
Javad Mashreghi
Keyword(s):  
Families Of Operators
Sign in / Sign up

Export Citation Format

Share Document