Results 191 to 200 of about 127,882 (296)

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions. [PDF]

MethodsX
Abdulnabi FF, Al-Janaby HF, Ghanim F.
europepmc   +1 more source

Notes on a paper of Tyagi and Holm: A new integral representation for the Riemann Zeta function

, 2007
Michael Milgram
openalex   +2 more sources

Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses

Magnetic Resonance in Medicine, Volume 94, Issue 5, Page 2140-2149, November 2025.
Abstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Ryan H. B. Smith, Donald Garwood, Michael Garwood   +2 more
wiley   +1 more source

Fractional order tracking control of a disturbed differential mobile robot. [PDF]

PLoS One
Aguilar-Pérez JI, Duarte-Mermoud MA, Velasco-Villa M, Castro-Linares R.   +3 more
europepmc   +1 more source

A new integral representation for the Riemann Zeta function

, 2007
Sandeep Tyagi, Christian Holm
openalex   +2 more sources

Optimizing calibration designs with uncertainty in abilities

British Journal of Mathematical and Statistical Psychology, Volume 78, Issue 3, Page 889-910, November 2025.
Abstract Before items can be implemented in a test, the item characteristics need to be calibrated through pretesting. To achieve high‐quality tests, it's crucial to maximize the precision of estimates obtained during item calibration. Higher precision can be attained if calibration items are allocated to examinees based on their individual abilities ...
Jonas Bjermo, Ellinor Fackle‐Fornius, Frank Miller   +2 more
wiley   +1 more source

The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law. [PDF]

Entropy (Basel)
Bianconi G.
europepmc   +1 more source

Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume III

, 2007
Donal F. Connon
openalex   +2 more sources

Fractional Gaussian Noise: Spectral Density and Estimation Methods

Journal of Time Series Analysis, Volume 46, Issue 6, Page 1146-1174, November 2025.
The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1)$$ H\in \left(0,1\right) $$, is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
wiley   +1 more source