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Novel computational technique for fractional Kudryashov–Sinelshchikov equation associated with regularized Hilfer–Prabhakar derivative
In the present paper we propose a novel analytical technique to obtain the solution of nonlinear partial differential equations. Additionally, we...
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Derivative corrections to extremal black holes with moduli
We derive formulas for the leading mass, entropy, and long-range self-force corrections to extremal black holes due to higher-derivative operators....
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Bicomplex Caputo Derivative: A Comparative Study with Bicomplex Riemann–Liouville Operators and Applications
The aim of this article is to define the Caputo derivative of bicomplex order for the functions of a bicomplex variable, which we refer to as the...
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Partial Differential Equations of Mathematical Physics
If an unknown function of several variables and its partial derivatives are combined in an equation, the latter is called a partial differential... -
Learning continuous models for continuous physics
Dynamical systems that evolve continuously over time are ubiquitous throughout science and engineering. Machine learning (ML) provides data-driven...
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Regular Black Holes from Higher-Derivative Effective Delta Sources
Certain approaches to quantum gravity and classical modified gravity theories result in effective field equations in which the original source is... -
Surface Tension and Its Derivative Properties
Interfacial science refers to the phenomena came from interactions at the region between two different phases, such as a solid and a liquid or a gas... -
On the Van der Waals model on granular matters with truncated M-fractional derivative
In this work, exact solutions of the Van der Waals model (vdWm) are investigated with a new algebraic analytical method. The closed-form analysis of...
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Nonlocal Memory Dependent Derivative Analysis of a Photo-Thermoelastic Semiconductor Resonator
AbstractThe coupled photo-thermoelastic analysis in semiconductor resonator with nonlocal Memory dependent derivative (MDD) theory is presented. One...
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Exploring exact solitary wave solutions of Kuralay-II equation based on the truncated M-fractional derivative using the Jacobi Elliptic function expansion method
This paper focuses on the Kuralay-II equation, a prominent nonlinear evolutionary equation used in various scientific fields. Our goal was to...
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Experimental error suppression in Cross-Resonance gates via multi-derivative pulse sha**
While quantum circuits are reaching impressive widths in the hundreds of qubits, their depths have not been able to keep pace. In particular, cloud...
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Spatially Extended Systems with Monotone Dynamics (Continuous Time)
Broadly speaking, monotone dynamics means that some partial order is preserved under the dynamics, that is, if two solutions of some differential... -
Generalized Heat Equation with the Caputo–Fabrizio Fractional Derivative for a Nonsimple Thermoelastic Cylinder with Temperature-Dependent Properties
AbstractIn the current paper, a generalized thermoelastic model with two-temperature characteristics, including a heat transfer equation with...
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Revised Riemann–Hilbert problem for the derivative nonlinear Schrödinger equation: Vanishing boundary condition
AbstractWith a vanishing boundary condition, we consider a revised Riemann–Hilbert problem (RHP) for the derivative nonlinear Schrödinger...
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Higher-derivative quantum gravity with purely virtual particles: renormalizability and unitarity
We review the formulation of quantum field theories with purely virtual particles, a new type of degrees of freedom that can mediate interactions...
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Influence of a magnetic field on a nonlocal thermoelastic porous solid with memory-dependent derivative
A novel model of a nonlocal magneto-thermoelastic porous solid in the context of the three-phase-lag model with a memory-dependent derivative is...
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Reduction of Rayleigh backscattered noise in bidirectional optical access link using Lorentzian-weight-functioned adaptive derivative equalization
This paper introduces a technique to mitigate the Rayleigh backscattered (RB) noise generated in optical access links. Based on digital signal...
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Non-adiabatic holonomic quantum operations in continuous variable systems
Quantum operations by utilizing the underlying geometric phases produced in physical systems are favoured due to their potential robustness. When a...
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Right-hand side method for the numerical solution of nonlinear partial differential equations
The paper proposes a right-hand side method for the numerical solution of nonlinear partial differential equations. The class of differential...