Results 121 to 130 of about 7,924 (216)
Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]
Barakat MA +3 more
europepmc +1 more source
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
wiley +1 more source
Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
Caputo-Fabrizio fractional delta derivatives on an arbitrary time scale are presented. When the time scale is chosen to be the set of real numbers, then the Caputo-Fabrizio fractional derivative is recovered.
Mozyrska, Dorota +2 more
core +1 more source
Stability of Caputo fractional differential equations by Lyapunov functions [PDF]
summary:The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions.
Hristova, Snezhana +5 more
core +1 more source
Abstract Earthflows are landslides in fine‐grained materials that alternate long dormant phases of very slow movement with short paroxysmal stages of rapid motion. These rapid phases are highly destructive, often causing severe damage to buildings and infrastructure.
M. Berti +11 more
wiley +1 more source
Modeling and analysis of the dynamics of novel coronavirus (COVID-19) with Caputo fractional derivative. [PDF]
Ali A +4 more
europepmc +1 more source
Background. Fractional integro-differentiation is currently used in numerous studies in various fields of natural science, such as thermodynamics, radiophysics, biophysics, biology, aerodynamics, viscoelasticity, and electrical circuit theory. Along with
Vetlugin D. Beybalaev +4 more
doaj +1 more source
Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data. [PDF]
Nisar KS +5 more
europepmc +1 more source
Stability of solutions to impulsive Caputo fractional differential equations
Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal +2 more
doaj
Approximation of Hamilton-Jacobi equations with Caputo time-fractional derivative
In this paper, we investigate the numerical approximation of Hamilton-Jacobi equations with the Caputo time-fractional derivative. We introduce an explicit in time discretization of the Caputo derivative and a finite difference scheme for the ...
Fabio Camilli, Serik Duisembay
core

