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Optimal approximation of analog PID controllers of complex fractional-order
Complex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to...
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Coefficient Bounds for Multivalent Classes of Starlike and Convex Functions Defined by Higher-Order Derivatives and Complex Order
We establish coefficient bounds for functions from the subclasses of p -valent starlike and p -valent convex functions defined by higher-order...
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The Canonical Complex of the Weak Order
We define and study the canonical complex of a finite semidistributive lattice L . It is the simplicial complex on the join or meet irreducible...
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On new classes of strongly Janowski type functions of complex order
We investigate some new subclasses of analytic functions of Janowski type of complex order. We also study inclusion properties, distortion theorems,...
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A scalable synergy-first backbone decomposition of higher-order structures in complex systems
In the last decade, there has been an explosion of interest in the field of multivariate information theory and the study of emergent, higher-order...
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Investigation of a class of differential equations of complex order with boundary conditions
In this manuscript, a class of boundary value problems (BVPs) of complex order fractional differential equations (COFDEs) using the Caputo–Fabrizio...
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Riemann-Hilbert approach for the complex Sharma-Tasso-Olver equation with high-order poles
The inverse scattering transform is considered for the complex Sharma-Tasso-Olver equation with zero boundary condition by Riemann-Hilbert method....
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Generalization of the Dehornoy–Lafont Order Complex to Categories: Application to Exceptional Braid Groups
The homology of a Garside monoid, thus of a Garside group, can be computed efficiently through the use of the order complex defined by Dehornoy and...
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On hyper complex numbers with higher order Pell numbers components
In this article, we define higher order Pell numbers. Then we introduce a new family of hyper complex numbers by using higher order Pell numbers. We...
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About the Cover: Complex Finite Differences of Higher Order
In his recent work, Bengt Fornberg describes the construction of finite difference schemes (FDS) for accurate numerical computation of higher order...
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Minimizing a complex quadratic fractional optimization problem with two second-order cone constraints
One of the problematic research areas in optimization is determining a global optimum for non-convex quadratic fractional optimization problems as a...
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A Second-order Cone Relaxation-Based Branch-and-Bound Algorithm for Complex Quadratic Programs on Acyclic Graphs
Complex quadratically constrained quadratic programs (QCQPs) with underlying acyclic graph structures have special interests in some important...
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Hybrid control-based synchronization of fractional-order delayed complex-valued fuzzy neural networks
This paper explores complete synchronization of a class of fractional-order delayed complex-valued fuzzy neural networks (FDCFNNs) by employing...
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Finite-Time Synchronization of Delayed Fractional-Order Heterogeneous Complex Networks
This chapter is devoted to exploring the finite-time (FET) synchronization problem of time-varying delay fractional-order (FO) coupled heterogeneous...
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Estimates for λ-Spirallike Functions of Complex Order on the Boundary
We give some results obtained for λ-spirallike functions of complex order on the boundary of the unit disc U. The sharpness of these results is also...
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Optimized fractional-order Butterworth filter design in complex F-plane
This paper introduces a new technique to optimally design the fractional-order Butterworth low-pass filter in the complex F -plane. Design stability...
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New results on stabilization of complex-valued second-order Memristive neural networks with mixed delays and discontinuous activations functions
This paper states the objective of investigating the finite-time stabilization and fixed-time stabilization analysis for complex-valued second-order...
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Complex solutions to the higher-order nonlinear boussinesq type wave equation transform
The higher-order nonlinear Boussinesq type wave equation describes the propagation of small amplitude long capillary–gravity waves on the surface of...