DOI: 10.24193/fpt-ro.2023.2.02

Authors: Nguyen Thi Van Anh

Abstract: In this work, we consider a general model of fractional differential variational inequalities formulated by a fractional differential inclusion and a general variational inequality. The existence of mild solutions on a half-line is proved. Furthermore, we study establish the sufficient conditions ensuring the existence and uniqueness of asymptotically periodic solutions based on theory of semigroup and some fixed point arguments. Finally, examples are given to illustrate our theoretical results.

Key Words and Phrases: Fractional differential variational inequalities, elliptic variational inequalities, measure of noncompactness, fixed point theory, condensing map.

2010 Mathematics Subject Classification: 26A33, 35R11, 34A08, 47H08, 47H10.

Published on-line: June 15th, 2023.

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