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

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 $1< q<2$ 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.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-06-16
DOI
https://doi.org/10.1186/s13660-025-03320-8
Primary Topic
Contact Mechanics and Variational Inequalities
Type
article
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article

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

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Journal of Inequalities and Applications
Contact Mechanics and Variational Inequalities
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A new class of dual systems of fractional differential equations with hemivariational inequalities

Abdur Raheem, Mohammad Adnan, Fahad Maqbul Alamrani, Faizan Ahmad Khan, Areefa Khatoon, Esmail Alshaban
article en

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 $1< q<2$ 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.

Journal of Inequalities and ApplicationsVol. 2025(1)
Aligarh Muslim University (IN), Symbiosis International University (IN), University of Tabuk (SA)
Reduced inequalities
Openalex Percentile: Top 85%
Contact Mechanics and Variational Inequalities
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