Algebraic and Geometric Analysis

We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$ . We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\righta…

Fractional order quaternion‐valued neural networks are a type of fractional order neural networks for which neuron state, synaptic connection strengths, and neuron activation functions are quaternion. This paper is dealing with the Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neu…

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• MELEK ERDOĞDU

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• SÜLEYMAN DEMİR

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• MURAT TANIŞLI

We propose here a new approximation scheme to obtain analytic expressions for the bound state energies and eigenfunctions of Yukawa-like potentials. The predicted energies are in excellent agreement with the accurate numerical values reported in the literature.

• KORAY KÖKSAL

In this paper, we acquire the soliton solutions of the nonlinear Schrodinger’s equation with dual power-law nonlinearity. Primarily, we use the extended trial equation method to find exact solutions of this equation. Then, we attain some exact solutions including soliton solutions, rational and elliptic function solut…

• YUSUF PANDIR

Investigating solutions of differential equations has been an important issue for scientists. Researchers around the world have talked about different methods to solve differential equations. The type and order of the differential equation enabled us to decide the method that we could choose to find the solution of th…

• NİHAL ÖZDOĞAN

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• MELEK ERDOĞDU

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• DOĞAN ÜNAL