Results 171 to 180 of about 12,008 (303)

Exact Solutions of Linear Multiple Delay Partial Differential Equations

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Invariance Principle for Lifts of Geodesic Random Walks. [PDF]

open access: yesJ Theor Probab
Junné J, Redig F, Versendaal R.
europepmc   +1 more source

A Passive Low‐Frequency, High‐Sensitivity Diamagnetic Levitation Accelerometer

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Despite the great potential of diamagnetic levitation accelerometers in detecting low‐frequency and weak motion, there is still a demand to further enhance their sensitivity for geophysical and microgravity applications. In this study, a straightforward structural modulating approach is presented to enhance the sensitivity of diamagnetic ...
Yuanping Xu   +5 more
wiley   +1 more source

Robust Position Control of an Electro‐Hydraulic Actuator via Metaheuristic Optimization of a Fractional‐Order PID Controller

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar   +8 more
wiley   +1 more source

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