Results 41 to 50 of about 317,311 (293)

Fractal-fractional Anthroponotic Cutaneous Leishmania model study in sense of Caputo derivative

Alexandria Engineering Journal, 2022
The current paper is the analysis of an Anthroponotic Cutaneous Leishmania infection caused by a parasite known as Leishmania Tropica under the Caputo fractal-fractional operator.
Lei Zhang, Mati ur Rahman, Qu Haidong, Muhammad Arfan, Adnan   +4 more
doaj   +1 more source

Fractal calculus for refrigerated transportation of perishable foods: Energy consumption and energy saving

Thermal Science, 2021
This paper studies the frozen pork transportation in short and long distances, the loss of cooling capacity and the energy consumption in the cold chain transportation are analyzed experimentally and numerically.
E. Liu, Zhang Wenyun, Hui-fan Zheng, Qian Yingzhi, Li Wei, Nianyong Zhou, Li Liu, Feng Hao   +7 more
semanticscholar   +1 more source

Fractal vector measures and vector calculus on planar fractal domains [PDF]

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mendivil, F., Vrscay, E. R.
openaire   +1 more source

The transient analysis for zero-input response of fractal RC circuit based on local fractional derivative

Alexandria Engineering Journal, 2020
Local fractional calculus has gained wide attention in the field of circuit design. In this paper, we propose the zero-input response(ZIR) of fractal RC circuit modeled by local fractional derivative(LFD) for the first time.
Kang-Jia Wang, Hong-Chang Sun, Zhe Fei
doaj   +1 more source

Special Issue: Fractal Functions and Applications

Fractal and Fractional, 2022
This volume gathers some important advances in the fields of fractional calculus and fractal curves and functions [...]
María Antonia Navascués, María Victoria Sebastián   +1 more
doaj   +1 more source

A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]

, 2018
We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
core   +1 more source

Fractional Derivative as Fractional Power of Derivative [PDF]

, 2007
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator.
Berezin F. A., Berezin F. A., Brichkov Yu. A., Caputo M., Dalechky Yu. L., Hadid S. B., Karasev M. V., Korabel N., Krasnolelsky M. A., Krasnolelsky M. A., Krein S. G., Krein S. G., Le Mehaute A., Luke Y., Maslov V. P., Momani S., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Zaslavsky G. M.   +25 more
core   +1 more source

Fractal Logistic Equation

Fractal and Fractional, 2019
In this paper, we give difference equations on fractal sets and their corresponding fractal differential equations. An analogue of the classical Euler method in fractal calculus is defined. This fractal Euler method presets a numerical method for solving
Alireza Khalili Golmankhaneh, Carlo Cattani   +1 more
doaj   +1 more source

Connectivity calculus of fractal polyhedrons [PDF]

Pattern Recognition, 2015
The paper analyzes the connectivity information (more precisely, numbers of tunnels and their homological (co)cycle classification) of fractal polyhedra. Homology chain contractions and its combinatorial counterparts, called homological spanning forest (HSF), are presented here as an useful topological tool, which codifies such information and provides
Molina Abril, Helena, Real Jurado, Pedro, Nakamura, Akira, Klette, Reinhard   +3 more
openaire   +3 more sources

He’s fractal calculus and its application to fractal Korteweg-de Vries equation

, 2021
He’s fractal calculus is a powerful and effective tool to dealing with natural phenomena in a fractal space. In this paper, we study the fractal KdV equation with He’s fractal derivative.
X. Ma, Li-na Zhang
semanticscholar   +1 more source