On the fractional signals and systems
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
Ubiquitous fractional order controls?
YQ Chen - IFAC Proceedings Volumes, 2006 - Elsevier
There is an increasing interest in dynamic systems and controls of noninteger orders or
fractional orders. Clearly, for closed-loop control systems, there are four situations. They are …
fractional orders. Clearly, for closed-loop control systems, there are four situations. They are …
[图书][B] Fractional calculus: models and numerical methods
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …
differential operators including integrals and derivatives of any arbitrary real or complex …
[图书][B] Fractional calculus: an introduction for physicists
R Herrmann - 2011 - World Scientific
Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …
classes. In the following section we will present common generalizations for arbitrary …
Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates
M Al-Smadi, OA Arqub - Applied Mathematics and Computation, 2019 - Elsevier
Numerical modeling of partial integrodifferential equations of fractional order shows
interesting properties in various aspects of science, which means increased attention to …
interesting properties in various aspects of science, which means increased attention to …
Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm
OA Arqub - International Journal of Numerical Methods for Heat & …, 2018 - emerald.com
Purpose The purpose of this study is to introduce the reproducing kernel algorithm for
treating classes of time-fractional partial differential equations subject to Robin boundary …
treating classes of time-fractional partial differential equations subject to Robin boundary …
Application of reproducing kernel algorithm for solving Dirichlet time-fractional diffusion-Gordon types equations in porous media
OA Arqub, N Shawagfeh - Journal of Porous Media, 2019 - dl.begellhouse.com
Time-fractional partial differential equations describe different phenomena in statistical
physics, applied mathematics, and engineering. In this article, we propose and analyze an …
physics, applied mathematics, and engineering. In this article, we propose and analyze an …
Numerical algorithm for the solutions of fractional order systems of Dirichlet function types with comparative analysis
O Abu Arqub - Fundamenta Informaticae, 2019 - content.iospress.com
The aim of this article is to introduce the reproducing kernel algorithm for obtaining the
numerical solutions of fractional order systems of Dirichlet function types. The algorithm …
numerical solutions of fractional order systems of Dirichlet function types. The algorithm …
Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator
OA Arqub, B Maayah - Chaos, Solitons & Fractals, 2018 - Elsevier
In this article, by popularization of the reproducing kernel Hilbert space method in the sense
of the Atangana–Baleanu fractional operator; set of first-order integrodifferential equations …
of the Atangana–Baleanu fractional operator; set of first-order integrodifferential equations …
Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation
Diffusion weighted MRI is used clinically to detect and characterize neurodegenerative,
malignant and ischemic diseases. The correlation between developing pathology and …
malignant and ischemic diseases. The correlation between developing pathology and …