نتایج جستجو برای: variable order fractional calculus

تعداد نتایج: 1228236  

Journal: :An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 2017

Journal: :The IMA volumes in mathematics and its applications 2023

The standard diffusion processes are known to be obtained as the limits of appropriate random walks. These prelimiting walks can quite different, however. coefficient made responsible for size jumps or intensity jumps. limit does not feel difference. situation changes if we model jump-type approximations via CTRW with non-exponential waiting times. If make and take times from domain attraction ...

Journal: :Discrete Dynamics in Nature and Society 2017

Journal: :Communications in Nonlinear Science and Numerical Simulation 2016

Journal: :Boundary Value Problems 2021

Abstract In this manuscript, we examine both the existence and stability of solutions to implicit boundary value problem Caputo fractional differential equations variable order. We construct an example illustrate validity observed results.

1999
Rudolf GORENFLO

{ Fractional calculus allows to generalize the standard (linear and one dimensional) diiusion equation by replacing the second-order space derivative by a derivative of fractional order. If this is taken as the pseudo-diierential operator introduced by Feller in 1952 the fundamental solution of the resulting diiusion equation is a probability density evolving in time and stable in the sense of ...

Journal: :Journal of The Brazilian Society of Mechanical Sciences and Engineering 2022

A finite element method formulation is developed for the solution of anomalous diffusion equation. This equation belongs to branch mathematics called fractional calculus: it governed by a partial differential in which time derivative, whose order ranges interval (0,1), replaces first-order derivative classical In this work, Caputo integro-differential operator employed represent derivative. Aft...

Journal: :Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2020

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