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Results on existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type.

Authors :
Mohan Raja, M.
Vijayakumar, V.
Udhayakumar, R.
Nisar, Kottakkaran Sooppy
Source :
Numerical Methods for Partial Differential Equations. Jan2024, Vol. 40 Issue 1, p1-20. 20p.
Publication Year :
2024

Abstract

In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 &lt; r &lt; 2 with Clarke&#39;s subdifferential type. By applying the facts related to the measure of noncompactness, fractional calculus, and fixed‐point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0749159X
Volume :
40
Issue :
1
Database :
Academic Search Index
Journal :
Numerical Methods for Partial Differential Equations
Publication Type :
Academic Journal
Accession number :
173759956
Full Text :
https://doi.org/10.1002/num.22691