Results 61 to 70 of about 11,022 (166)
Atoms, 2018 Atomic structure of N-electron atoms is often determined by solving the Hartree-Fock equations, which are a set of integro-differential equations. The integral part of the Hartree-Fock equations treats electron exchange, but the Hartree-Fock equations ...
Thomas Gomez +6 more
doaj +1 more source
Journal of Applied Ecology, Volume 63, Issue 4, April 2026.This study highlights the importance of integrating cross‐realm connectivity and threat propagation when designing new or expanding existing networks of conservation areas, such as the Natura 2000 European network of protected areas. These findings emphasize the need for multirealm planning that supports species persistence, protects transitional ...
Maria Vigo +6 more
wiley +1 more source
Operational Rules for a Mixed Operator of the Erdélyi-Kober Type [PDF]
, 2004 2000 Mathematics Subject Classification: 26A33 (main), 44A40, 44A35, 33E30, 45J05, 45D05In the paper, the machinery of the Mellin integral transform is applied to deduce and prove some operational relations for a general operator of the Erdélyi-Kober ...
Luchko, Yury
core
On the solution of some simple fractional differential equations
International Journal of Mathematics and Mathematical Sciences, 1990 The differintegration or fractional derivative of complex order ν, is a generalization of the ordinary concept of derivative of order n, from positive integer ν=n to complex values of ν, including also, for ν=−n a negative integer, the ordinary n-th ...
L. M. B. C. Campos
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On an explicit finite difference method for fractional diffusion equations
, 2003 A numerical method to solve the fractional diffusion equation, which could also be easily extended to many other fractional dynamics equations, is considered.
Gorenflo Rudolf +5 more
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Axioms, 2020 The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
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, 2010 We revisit the model of a quantum Brownian oscillator linearly coupled to an environment of quantum oscillators at finite temperature. By introducing a compact and particularly well-suited formulation, we give a rather quick and direct derivation of the ...
Albert Roura +47 more
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A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
Coupling Enhancement and Symmetrization in Dissipative Optomechanical Systems
Annalen der Physik, Volume 538, Issue 3, March 2026.A practical circuit‐QED scheme with dual coherent laser driving and enhanced cross‐Kerr nonlinearity is presented to achieve ultrastrong optomechanical coupling in the few‐photon regime. A symmetric optomechanical dynamical framework is further established to enable a systematic classification of different coupling regimes.
Cheng Shang, H. Z. Shen
wiley +1 more source
, 2011 This paper describes a novel numerical approach to find the statistics of the non-stationary response of scalar non-linear systems excited by L\'evy white noises.
Cottone G Di Paola M Marino F +14 more
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