Semilinear Riemann-Liouville evolution inclusions with causal operators

2021 ◽  
Author(s):  
S. Bilal ◽  
T. Donchev ◽  
M. Ziane ◽  
S. Hristova
Keyword(s):  
Evolution Inclusions ◽  
Causal 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.

On evolution inclusions with nonconvex valued orientor fields

1996 ◽  
Vol 26 (1) ◽  
pp. 1-8 ◽  
Author(s):  
D. Kravvaritis ◽  
G. Pantelidis
Keyword(s):  
Evolution Inclusions ◽  
Orientor Fields

Optimal control of evolution inclusions

2005 ◽  
Vol 63 (5-7) ◽  
pp. 775-784 ◽  
Author(s):  
Boris S. Mordukhovich
Keyword(s):  
Optimal Control ◽  
Evolution Inclusions

Differential equations with causal operators in a Banach space

2005 ◽  
Vol 62 (2) ◽  
pp. 301-313 ◽  
Author(s):  
Z. Drici ◽  
F.A. McRae ◽  
J. Vasundhara Devi
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Causal Operators

Evolution Inclusions of the Subdifferential Type

2000 ◽  
pp. 115-204
Author(s):  
Shouchuan Hu ◽  
Nikolas S. Papageorgiou
Keyword(s):  
Evolution Inclusions
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