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THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS
Moghaddam, Mohammad Reza R.,Parvaneh, Foroud,Naghshineh, Mohammad Korean Mathematical Society 2011 대한수학회보 Vol.48 No.1
In the present paper we introduce the lower autocentral series of autocommutator subgroups of a given group. Following our previous work on the subject in 2009, it is shown that every finite abelian group is isomorphic with $n^{th}$-term of the lower autocentral series of some finite abelian group.
The lower autocentral series of Abelian groups
Mohammad Reza R. Moghaddam,Foroud Parvaneh,Mohammad Naghshineh 대한수학회 2011 대한수학회보 Vol.48 No.1
In the present paper we introduce the lower autocentral series of autocommutator subgroups of a given group. Following our previous work on the subject in 2009, it is shown that every finite abelian group is isomorphic with n^th-term of the lower autocentral series of some finite abelian group.
ON CONTROLLABILITY FOR FRACTIONAL VOLTERRA-FREDHOLM SYSTEM
Ahmed A. Hamoud,Saif Aldeen M. Jameel,Nedal M. Mohammed,Homan Emadifar,Foroud Parvaneh,Masoumeh Khademi 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.2
In this manuscript, we study the sufficient conditions for controllability of Volterra-Fredholm type fractional integro-differential systems in a Banach space. Fractional calculus and the fixed point theorem are used to derive the findings. Some examples are provided to illustrate the obtained results.
Ahmed A. Hamoud,Nedal M. Mohammed,Homan Emadifar,Faraidum K. Hamasalh,Soubhagya Kumar Sahoo,Masoumeh Khademi,Foroud Parvaneh 한국지능시스템학회 2022 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.22 No.4
In this paper, we established some new results concerning the existence and uniquenessof the solutions of nonlinear Atangana-Baleanu-Caputo fractional (ABC-fractional) FuzzyVolterra-Fredholm integro-differential equations. These new findings are obtained using thetheorems of a fixed point. In addition, we investigate Hyers-Ulam stability for this fractionalsystem. Our work extends and improves the results in the literature. Finally, some examplesdemonstrate the validity of the obtained theoretical results.