MDPI

Fractal and Fractional Template

Write in a clean editor, then format for Fractal and Fractional in one click — DocuGuru applies the official MDPI template with numbered references and exports a submission-ready PDF plus the editable LaTeX source. Free to start.

About the Fractal and Fractional format

Fractal and Fractional is a peer-reviewed journal published by MDPI, covering Fractional Differential Equations Solutions, Nonlinear Differential Equations Analysis, Differential Equations and Numerical Methods. Over its lifetime it has published 4,149 papers, which have received 35,799 citations.

PublisherMDPI
Reference styleNumbered (MDPI)
Numbered — [1], [2] in the text
1. Smith, A.; Jones, B.; Lee, C. A Representative Article Title. Fractal and Fractional 2023, 12, 45–58.

Formats any DOI in Fractal and Fractional style. No sign-up.

Abbreviation (ISO-4)Fractal Fract.
Publishes research inFractional Differential Equations Solutions Nonlinear Differential Equations Analysis Differential Equations and Numerical Methods Advanced Control Systems Design Nonlinear Waves and Solitons
ISSN2504-3110
Citation impact (2-yr)3.71
h-index57
i10-index1,120
Article processing charge$1,732
Open accessYes — indexed in DOAJ
Top institutions publishing hereQassim University
Journal websitewww.mdpi.com
You getA submission-ready PDF and the editable LaTeX source — ready to submit.

Papers published in Fractal and Fractional per year

18
2017
29
2018
56
2019
60
2020
304
2021
776
2022
872
2023
746
2024
828
2025

Citation impact of Fractal and Fractional by publication year

391
2017
649
2018
972
2019
1.2K
2020
5.5K
2021
9.6K
2022
9.6K
2023
4.8K
2024
2.3K
2025

Citations each year’s papers have accumulated so far — the most recent years are still building up.

Most-cited papers in Fractal and Fractional

Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

Yu‐Ming Chu, Umar Nazir, Muhammad Sohail et al. · 13 Sep 2021

Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers due to their wide applications. This report discusses the flow of Powell–Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under…

Overcoming Nonlinear Dynamics in Diabetic Retinopathy Classification: A Robust AI-Based Model with Chaotic Swarm Intelligence Optimization and Recurrent Long Short-Term Memory

Yusuf Bahri Özçelik, Aytaç Altan · 3 Aug 2023

Diabetic retinopathy (DR), which is seen in approximately one-third of diabetes patients worldwide, leads to irreversible vision loss and even blindness if not diagnosed and treated in time. It is vital to limit the progression of DR disease in order to prevent the loss of vision in diabetic patients. It is therefore essential that DR…

Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates

Shengwen Tang, Yang Wang, Zhicheng Geng et al. · 17 May 2021

Cement-based materials are widely utilized in infrastructure. The main product of hydrated products of cement-based materials is calcium silicate hydrate (C-S-H) gels that are considered as the binding phase of cement paste. C-S-H gels in Portland cement paste account for 60–70% of hydrated products by volume, which has profound influence on the mechanical properties and…

Study on Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions

Md Ashik Iqbal, Ye Wang, M. Mamun Miah et al. · 23 Dec 2021

In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative by using an efficient and well-established approach, namely: the two-variable G’/G, 1/G-expansion method. The solutions of the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative play a vital role in many scientific occurrences. The regular dynamical wave solutions of the abovementioned…

Forecasting Cryptocurrency Prices Using LSTM, GRU, and Bi-Directional LSTM: A Deep Learning Approach

Phumudzo Lloyd Seabe, Claude Rodrigue Bambe Moutsinga, Edson Pindza · 18 Feb 2023

Highly accurate cryptocurrency price predictions are of paramount interest to investors and researchers. However, owing to the nonlinearity of the cryptocurrency market, it is difficult to assess the distinct nature of time-series data, resulting in challenges in generating appropriate price predictions. Numerous studies have been conducted on cryptocurrency price prediction using different Deep Learning (DL)…

Fractal and Fractional template — frequently asked questions

How do I write a paper in the Fractal and Fractional format?
In DocuGuru you write your manuscript in a normal editor — no LaTeX setup required — and select the Fractal and Fractional template. When you export, DocuGuru compiles the paper into the official MDPI format and hands you a submission-ready PDF along with the editable LaTeX source.
What reference style does Fractal and Fractional use?
Fractal and Fractional uses Numbered (MDPI) references, shown as numbered [1], [2] markers in the text. DocuGuru formats every in-text citation and the reference list in this exact style automatically. A reference appears like this: 1. Smith, A.; Jones, B.; Lee, C. A Representative Article Title. Fractal and Fractional 2023, 12, 45–58.
Do I need to know LaTeX to submit to Fractal and Fractional?
No. DocuGuru generates the mdpi LaTeX class and compiles the PDF for you in the background, so you get a MDPI-ready Fractal and Fractional document without writing any LaTeX. If you do want it, the LaTeX source is included in the export.
Can I import an existing draft into the Fractal and Fractional template?
Yes. Paste or upload your current manuscript — Word, LaTeX, Markdown, or plain text — and DocuGuru reflows it into the Fractal and Fractional format with correct headings, figures, tables, and numbered citations.
What is Fractal and Fractional?
Fractal and Fractional (Fractal Fract.) - MDPI Journal. It is a multidisciplinary journal, published by MDPI.
Can I export a submission-ready Fractal and Fractional PDF?
Yes — DocuGuru produces a PDF built with the official Fractal and Fractional template (the mdpi class) that is ready to submit to MDPI, together with the matching LaTeX source files.
How much does the Fractal and Fractional template cost?
You can start writing in the Fractal and Fractional template for free. Exporting the final submission-ready Fractal and Fractional PDF and LaTeX source is part of DocuGuru's paid plans — see the app for current pricing.
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