![]() ![]() Panning, rotating, stretching, and skewing are also possible, of course. Use the classic selection box shown above, or zoom with the mouse by Shift-dragging or double-clicking inside the fractal window. And thanks to the new perturbation calculations algorithm in Ultra Fractal 6, images that previously took hours or days to generate are now completed within minutes! Deep zooming is fully integrated and works with all fractal types and coloring options, even those you have written yourself. You can zoom to virtually unlimited depths with Ultra Fractal. For more information, see Plug-ins in the Ultra Fractal help file. By combining different plug-ins, the possibilities truly become endless. Then connect to the online formula database to download thousands of additional fractal formulas and coloring algorithms contributed by other users.įormulas can also use plug-ins which lets you easily mix and match features. You can also download the PDF manual to print the tutorials.Įxplore thousands of fractal types and coloring optionsįirst explore the standard fractal types in Ultra Fractal to get familiar with them. Starting with the basics, you will soon learn how to create your own fractals, change the colors, add layers, use masks, and even create animations. It is easy and fun to start using Ultra Fractal with the built-in tutorials. Get started quickly with the integrated tutorials Ultra Fractal is very easy to use and yet more capable than any other fractal program. With Ultra Fractal, you can choose from thousands of fractal types and coloring algorithms, zoom in as far as you want, use gradients to add color, and apply multiple layers to combine different fractals in one image. Today, fractals are much more than the Mandelbrot sets that you may have seen before. Authors may use MDPI'sĮnglish editing service prior to publication or during author revisions.Ultra Fractal Portable is a great way to create your own fractal art. Submitted papers should be well formatted and use good English. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Please visit the Instructions for Authors page before submitting a manuscript. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. All manuscripts are thoroughly refereed through a single-blind peer-review process. Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website. Research articles, review articles as well as short communications are invited. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. ![]() All submissions that pass pre-check are peer-reviewed. Manuscripts can be submitted until the deadline. Once you are registered, click here to go to the submission form. Manuscripts should be submitted online at by registering and logging in to this website. This Special Issue aims to collect recent perspectives in fractional calculus, applied to all problems arising in all fields of science, engineering applications, and other applied fields. The applications of fractional calculus in many fields of applied sciences attracted the increasing interest of many researchers in recent years. The microscopic analysis aims to relate the anomalous behavior of the motion with the geometry of the medium (boundaries, interfaces, layers, etc.). ![]() ![]() Indeed, in macroscopic analysis, we bear the fact that a motion exhibits its own anomalous dynamic that is, the motion can be written as a time change of a base process where the governing equation is a fractional partial differential equation. Sometimes, this respectively agrees with the macroscopic or microscopic analysis of real phenomena. Such a class includes motions driven by fractional equations and motions on irregular (or non-homogeneous) domains. Anomalous behavior can be regarded as the common property of a wide class of phenomena. ![]()
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