A new class of dual systems of fractional differential equations with hemivariational inequalities

Abstract The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order 1 < q < 2 $1<...

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Bibliographic Details
Main Authors: Mohd Adnan, Esmail Alshaban, Fahad M. Alamrani, Abdur Raheem, Areefa Khatoon, Faizan A. Khan
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-025-03320-8
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Summary:Abstract The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order 1 < q < 2 $1< q<2$ in a Banach space. The existence of a solution to the mentioned problem is proved by employing Rothe’s method and a surjectivity result. An example is provided to validate the results.
ISSN:1029-242X