Theoretical Development and Application in Analytical and Numerical Methods for Fractional Differential Equations
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 31 July 2025 | Viewed by 528
Special Issue Editors
2. Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
Interests: nonlinear analysis on manifolds; fractional-order differential equations; partial differential equation; variational methods; fixed-points theorem; critical points theory; singular nonlinear systems; fractional calculus; mathematical modeling
Special Issues, Collections and Topics in MDPI journals
Interests: computational mathematics; applied mathematical modelling; differential equations and boundary value problems; fluid mechanics
Special Issues, Collections and Topics in MDPI journals
Interests: computational mathematics; numerical method for partial differential equations; phase-field models
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional differential equation is a new research branch of nonlinear science. Its development has been a great boost to many science fields such as viscoelasticity, neurons, electrochemistry, control, biomedical physics, porous media and electromagnetism. Therefore, the new advancements of fractional calculus, including theories and applications in analytical and numerical methods to solve fractional differential equation, will greatly improve people's ability to understand and control the corresponding natural phenomena on many disciplines.
The aim of this Special Issue is to report on the latest achievements and recent development of fractional differential equations, which include but are not limited to, fractional calculus theories, analytical and numerical methods for solving fractional differential equations, the practical application of fractional models, etc. Examples of other related topics are listed below:
- Dynamical fractional differential equations;
- Nonlocal fractional-order boundary value problems;
- Fractional functional differential equations;
- Impulsive fractional differential and integral equations;
- Inequalities of fractional integrals and derivatives;
- Numerical analysis for nonlinear fractional differential equations;
- Analysis and control for fractional differential equations;
- Fractional financial mathematics models;
- Fractional partial differential equations and their applications;
- Algebra analysis for fractional differential equations;
- Fixed-point theory and application in fractional calculus;
- Fractional network arising in physical models;
- Fractional stochastic differential equations.
Dr. Xinguang Zhang
Prof. Dr. Yonghong Wu
Prof. Dr. Chuanjun Chen
Guest Editors
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- fractional differential equations
- boundary value problems
- fractional integrals and derivatives
- fractional Partial differential equations
- fixed-point theory
- fractional network
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