Results 21 to 30 of about 6,699,757 (251)

New Aspects of Bloch Model Associated with Fractal Fractional Derivatives

Nonlinear Engineering, 2021
To model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives
Akgül Ali, Mallah Ishfaq Ahmad, Alha Subhash   +2 more
doaj   +1 more source

Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]

, 2013
In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S, Spurgeon, Sarah K., Kamal, S., KAMAL, S, BANDYOPADHYAY, B, Bandyopadhyay, B., Spurgeon, S., Bandyopadhyay, Bijan, Kamal, Shyam   +8 more
core   +1 more source

Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs

Fractal and Fractional, 2018
In the present paper, the explicit solutions of some local fractional partial differential equations are constructed through the integration of local fractional Sumudu transform and homotopy perturbation such as local fractional dissipative and damped ...
Kamal Ait Touchent, Zakia Hammouch, Toufik Mekkaoui, Fethi B. M. Belgacem   +3 more
doaj   +1 more source

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives [PDF]

, 2010
In this paper, we consider the numerical solution of a fractional partial differential equation with Riesz space fractional derivatives (FPDE-RSFD) on a finite domain.
Yang, Qianqian, Liu, Fawang, Turner, I.
core   +1 more source

Theory Analysis of Left-Handed Grünwald-Letnikov Formula with 0<α<1 to Detect and Locate Singularities

Abstract and Applied Analysis, 2014
We study fractional-order derivatives of left-handed Grünwald-Letnikov formula with ...
Shaoxiang Hu, Ping Liang
doaj   +1 more source

Fractional boundary value problems: Analysis and numerical methods [PDF]

, 2011
This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado, Ford, Neville J., Morgado, Maria L., Neville J. Ford   +3 more
core   +1 more source

Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables

Abstract and Applied Analysis, 2014
The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained
Li Chen, Yang Zhao, Hossein Jafari, J. A. Tenreiro Machado, Xiao-Jun Yang   +4 more
doaj   +1 more source

Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]

, 2010
A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for ...
Matignon, Denis, Deü, J.-F., Deü, Jean-Francois, Matignon, D.   +3 more
core   +1 more source

Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method

Advances in Mathematical Physics, 2013
The fractal wave equations with local fractional derivatives are investigated in this paper. The analytical solutions are obtained by using local fractional Fourier series method.
Yong-Ju Yang, Dumitru Baleanu, Xiao-Jun Yang   +2 more
doaj   +1 more source

Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

Abstract and Applied Analysis, 2014
Local fractional derivatives were investigated intensively during the last few years. The coupling method of Sumudu transform and local fractional calculus (called as the local fractional Sumudu transform) was suggested in this paper.
H. M. Srivastava, Alireza Khalili Golmankhaneh, Dumitru Baleanu, Xiao-Jun Yang   +3 more
doaj   +1 more source