Results 71 to 80 of about 1,119,897 (215)
Riemann zeta zeros and prime number spectra in quantum field theory
, 2013 The Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line $\Re(s)=1/2$. Hilbert and P\'olya suggested that one possible way to prove the Riemann hypothesis is to interpret the nontrivial zeros in the light of ...
Menezes, G. +2 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam +4 more
wiley +1 more source
Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications [PDF]
, 2007 Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded
Dragomir, Sever S
core
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we study a class of asymptotically linear fractional nonlocal boundary value problems depending on the fractional derivative of lower order; the nonlinear term may be sign‐changing. By using the theory of fixed point index for asymptotically linear operators and the Banach contraction mapping principle, the multiplicity and uniqueness of
You Wu +4 more
wiley +1 more source
Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with multistrip Riemann–Stieltjes integral boundary conditions.
Tongling Lv, Huihui Pang, Limei Cao
doaj +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function, extending the classical identities known for the Euler Gamma function.
Gregory Abe-I-Kpeng +3 more
wiley +1 more source
On the fractional Laplacian of a function with respect to another function
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez +2 more
wiley +1 more source
A Formal Proof Of The Riesz Representation Theorem
Journal of Formalized Reasoning, 2011 This paper presents a formal proof of the Riesz representation theorem in the PVS theorem prover. The Riemann Stieltjes integral was defined in PVS, and the theorem relies on this integral.
Anthony Narkawicz
doaj
Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions
Nonlinear Analysis, 2020 In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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Welding defect detection with image processing on a custom small dataset: A comparative study
IET Collaborative Intelligent Manufacturing, Volume 6, Issue 4, December 2024.This work focuses on detecting defects in welding seams using the most advanced You Only Look Once (YOLO) algorithms and transfer learning. To this end, the authors prepared a small dataset of images using manual welding and compared the performance of the YOLO v5, v6, v7, and v8 methods after two‐step training.
József Szőlősi +5 more
wiley +1 more source