Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type

Author:

Eidinejad Zahra1ORCID,Saadati Reza1ORCID,Mesiar Radko23ORCID,Raja Pandora4

Affiliation:

1. School of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, Iran

2. Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 810 05 Bratislava, Slovakia

3. Institute of Information Theory and Automation, The Czech Academy of Sciences, Pod Vodárenskou věží 4, 182 08 Praha, Czech Republic

4. Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839-69411, Iran

Abstract

We apply special functions and use the concept of the aggregation function to introduce a new class of fuzzy control functions, and based on this, we obtain the best approximation for the stochastic bi-homomorphisms and stochastic bi-derivations in FB-algebras and FC-⋄-algebras of matrix type associated with the bi-additive random operator inequality.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference10 articles.

1. On the stability of the linear functional equation;Hyers;Proc. Nat. Acad. Sci. USA,1941

2. Eidinejad, Z., Saadati, R., and Mesiar, R. (2022). Optimum Approximation for ς-Lie Homomorphisms and Jordan ς-Lie Homomorphisms in ς-Lie Algebras by Aggregation Control Functions. Mathematics, 10.

3. Eidinejad, Z., Saadati, R., and de la Sen, M. (2021). Radu-Mihet Method for the Existence, Uniqueness, and Approximation of the Ξ-Hilfer Fractional Equations by Matrix-Valued Fuzzy Controllers. Axioms, 10.

4. Theory and applications of fractional differential equations;Kilbas;North-Holland Mathematics Studies,2006

5. Some special functions related to fractional calculus and fractional (non-integer) order control systems and equations;Kiryakova;Facta Univ. Ser. Autom. Control Robot.,2008

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