Results on the controllability of Caputo’s fractional descriptor systems with constant delays [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered.
Beata Sikora
doaj +4 more sources
Estimates For An Integral In Lp Norm Of The (N + 1)-Th Derivative Of Its Integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Qi, Feng, Guo, Bai-Ni
core +13 more sources
Derivative observations in Gaussian Process models of dynamic systems [PDF]
, 2003 Gaussian processes provide an approach to nonparametric modelling which allows a straightforward combination of function and derivative observations in an empirical model.
Rasmussen, C.E. +4 more
core +8 more sources
Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative [PDF]
, 2016 A Hamilton–Jacobi equation with Caputo’s time fractional derivative of order less than one is considered. The notion of a viscosity solution is introduced to prove unique existence of a solution to the initial value problem under periodic boundary ...
Y. Giga, Tokinaga Namba
semanticscholar +1 more source
Series solution to fractional contact problem using Caputo’s derivative
Open Physics, 2021 In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs).
Rafiq Muhammad +7 more
doaj +1 more source
Hamilton–Jacobi formulation of systems within Caputo's fractional derivative [PDF]
, 2007 A new fractional Hamilton–Jacobi formulation for discrete systems in terms of fractional Caputo derivatives was developed. The fractional action function is obtained and the solutions of the equations of motion are recovered.
E. Rabei +3 more
semanticscholar +1 more source
Matlab Code for Lyapunov Exponents of Fractional-Order Systems [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2018 In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents for a class of fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code are presented.
Marius-F. Danca, N. Kuznetsov
semanticscholar +1 more source
Second Order Fuzzy Fractional Differential Equations Under Caputo’s H-Differentiability [PDF]
, 2017 The aim of this paper is to use the concept of the generalized H-derivative to define fuzzy Caputo’s H-derivative of order β ∈(1,2]. Our definition is an extension of fuzzy Caputo’s H-derivative of order β ∈(0,1] and higher order H-derivative of ...
Mohammad Al-Momani +7 more
core +1 more source
Analytical Solution for the Fractional Partial Differential Equations by Adomian Decomposition and Modified Decomposition Method [PDF]
Engineering and Technology Journal, 2013 In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method.
Iman Isho Gorial
doaj +1 more source
On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some Filippov type existence theorems for solutions of fractional semilinear differential inclusions involving Caputo's fractional derivative in Banach spaces.
Aurelian Cernea
doaj +1 more source