Contemporary Methods of Fractional Order Differential and Differential-Operator 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: 30 November 2024 | Viewed by 175
Special Issue Editors
Interests: fractional calculus; fractional differential equations; fractional derivative; differential operators and equations; stochastic differential equations; random walk models; stochastic processes; applied mathematics
Interests: fractional calculus; ordinary and partial fractional differential equations; mathematical modelling with fractional calculus models; fractional anomalous diffusion and wave propagation; integral transforms and special functions in fractional calculus
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Interests: drone-based remote sensing; 3D photogrammetry; optimal sensing in cyber-physical systems; distributed collaborative sensing in distributed parameter systems; mobile sensor networks; virtual metrology
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Special Issue Information
Dear Colleagues,
This Special Issue is devoted to new developments in the theory and applications of the fractional-order differential, partial differential, differential operator equations and systems, and stochastic differential equations. The focus is on novel effective analytic or semi-analytic methods for the solution of linear and nonlinear equations and systems, inverse problems including the determination of order(s), stability problems, and problems related to the asymptotic behavior of solutions. The novel methods for the analysis of the existence and uniqueness of a solution, continuous dependence of a solution on data, representations of solutions, fundamental solutions, properties of solutions, descriptions of solution spaces, etc., also fall within the scope of this Special Issue. Furthermore, submissions focusing on new effective applications of the fractional-order partial differential and differential operator equations and systems, which generalize famous classical equations like those of Schrödinger, Navier–Stokes, and Fokker–Planck, and other equations, in modern science (quantum physics, hydrodynamics, statistical mechanics, etc.) are also invited.
Prof. Dr. Sabir Umarov
Prof. Dr. Yuri Luchko
Prof. Dr. Yangquan Chen
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
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-order PDEs
- fractional-order differential operator equations
- fractional-order SDEs
- fractional fokker–planck equation
- fractional-order systems
- inverse problems for fractional-order equations
- stability of fractional-order systems
- applied fractional-order equations
- applied fractional-order systems
- determination of order(s)
- determination of coefficients
- solution spaces
- representation of solution
- fundamental solution
- mittag–leffler- and wright-type functions
- matrix-valued mittag–leffler and Wright functions
