Results 101 to 110 of about 2,491,107 (193)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
We present in this paper a new type of self-reference functional integro-differential equation with a nonlocal initial condition. Also, we present a nonlocal problem of the functional integro-differential equation with the infinite point boundary ...
Ahmed, Reda Gamal +5 more
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian +4 more
wiley +1 more source
On the ω-limit set of a nonlocal differential equation proposed by M. Nagayama
, 2015 We study the ω-limit set of solutions of a nonlocal ordinary differential equation, where the nonlocal term is such that the space integral of the solution is conserved in time.
Nguyen, Thanh Nam
core +1 more source
Existence of solutions for an abstract second-order differential equation with nonlocal conditions
Electronic Journal of Differential Equations, 2009 We discuss the existence of mild solutions for abstract second-order differential equation with nonlocal conditions. Also we consider some application of our results.
Eduardo Hernandez M.
doaj
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
Integrating Grain to Ground Motion Data for Critical Rock Bridge and Slope Failure Analysis
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Rock masses can fail catastrophically with little warning, yet their stability depends on hidden internal connections that channel forces and localise damage. Among these, rock bridges–a “known unknown” in slope mechanics–lock fractured rock and control how failure unfolds, but their concealed geometry and uncertain strength obscure where and ...
Antoinette Tordesillas +5 more
wiley +1 more source
Solution of TheHypergeometrical Differential Equation and SomeDifferentialEquation Related IT [PDF]
, 2017 In this research I discussed the hypergeometric Differential Equation and its various properties and how the second order named Ordinary Differential Equations can be obtained from it, such as: Bessel and Legendre Differential ...
Ahmed Mohamed Ishag Ahmed
core
Quarterly Journal of the Royal Meteorological Society, EarlyView.The cell perturbation (CP) method mitigate mesoscale structural perturbations entering large‐eddy simulations (LES) from gray‐zone parent domains. The turbulent kinetic energy (TKE) bias‐filtering effect of CP increases with nesting ratio and is most pronounced under weakly convective conditions.
Jung‐Hee Ryu, Song‐Lak Kang
wiley +1 more source