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May 30, 2023Open Access
In this paper, I study to expand homomorphisms on fuzzy Banach algebra based on Jensen-type functional equation with 2k-variable. First, we study extended homomorphisms on fuzzy Banach algebra with the fixed point method. Next, we study extended homomorphism on fuzzy Banach algebra by direct method. These are the main results of this paper.
Apr 28, 2023Open Access
In this paper, I establish homomorphisms, isomorphisms, and derivatives of quasi-algebras based on the general additive equation Cauchy-Jensen with 3k variables. First, I establish the homomorphisms for Equation (1.1); second, I establish the isomorphisms for Equation (1.2); and finally, I develop the derivative for Equation (1.3). These are the main results of this paper.
Mar 30, 2023Open Access
In this paper, we study to solve general Cauchy-Jensen additive mappings with 3k-variables. First, we investigated the Cauchy-Jensen stability of the functional Equations (1.1), (1.2) and (1.3) in Banach-spaces and then I apply the fixed point method to establish homomorphisms on the Banach algebras.
Feb 24, 2023Open Access
In this paper, we study to solve the quadratic type λ-functional equation with 3 k variables. First, we investigated in non-Archimedean Banach spaces with a fixed point method, next, we investigated in non-Archimedean Banach spaces with a direct method and finally we do research in non-Archimedean random spaces. I will show that the solutions of the quadratic type λ-functional equation are quadratic type mappings. These are the main results of this paper.
Feb 23, 2023Open Access
This paper attempts to express imaginary number with chemical nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, the exact Euler’s formula was written just like as in here “e xi = cos(x) i·sin(x)”. Secondly, twin pi is substituted for x(x = 2Π). Thirdly, the result of this process equals to “e 2iπ = cos(2Π) i·sin(2Π)”. Fourthly, sort up this formula just like as in here: “e 2iπ = 1 i0” = 1. Fifthly, multiply both sides of th...
Feb 22, 2023Open Access
This paper attempts to express the Faraday’s constant numbers with chemical nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, the exact value of the Faraday’s constant numbers after the comma is lined up in doublets (0, 96 48 53 32 12 33 10 01 84 × 10 5 C·mol -1). Secondly, convert this twin decimal base numbers to binary number base system. Thirdly, after converting process of these numbers, convert this binary numbers...
Jan 31, 2023Open Access
This paper attempts to express the golden ratio numbers with nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, if you take the exact value of golden ratio numbers after the comma, you can convert these decimal base numbers to binary number base system. Secondly, after converting process of these numbers, you should sequence these numbers as decimal number base system again. Thirdly, sum these decimal base numbers respectively. Fourthly, total adding processes ...
Jan 30, 2023Open Access
In this paper, a continuous two-dimensional dynamic system is proposed. This system was analyzed by finding the equilibrium points. Also, the stability of the system was analyzed through the roots of the characteristic equation, Roth stability criteria, Hurwitz stability criteria, fractional part stability criteria, and Lyapunov function. It turns out that the system is chaotic at one point of equilibrium and stable at the other point. Also, it was found that the roots of the characteristic equa...
Jan 30, 2023Open Access
In this paper, we study to solve the Cauchy, Jensen and Cauchy-Jensen additive function inequalities with 3k-variables related to Jordan-von Neumann type in the spirit of the Rassias stability approach for approximate homomorphisms in Banach space. These are the main results of this paper.
Jan 30, 2023Open Access
In this paper, a six-dimensional model of continuous time dynamical systems is proposed. This system was analyzed by finding equilibrium points, and the stability of the system was also analyzed using different methods, namely the roots of the characteristic equation, Routh’s invariance criterion, Hurwitz’s invariance criterion, Lyapunov function, and the continued fraction stability criterion. The chaoticity of the system was tested by Lyapunov exponent, the hexagonal system was found to be cha...
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