Nonlinear Equations Driven by Fractional Laplacian Operators
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 15 August 2024 | Viewed by 755
Special Issue Editors
Interests: fractional differential equations; functional analysis; variational approach; frac-tional calculus; analysis mathematics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional Differential Equations, an extension of the usual differential equations, broaden the scope of differentiation and integration to encompass arbitrary real or complex orders. Moreover, this topic has been attracting the attention of numerous researchers due to its rich applicability across several branches of science and technology. These equations play a pivotal role in describing various phenomena, including anomalous diffusion, viscoelasticity, fractional quantum mechanics, fractional dynamical systems, control theory, signal processing, and others in the fields of physics, biology, chemistry, economics, geophysics, engineering, and beyond. Unlike classical methods, problems involving fractional operators adeptly capture non-local and memory effects in complex systems, providing accurate models where traditional approaches fall short.
Researchers working on problems involving the fractional Laplacian operator are invited to contribute their original and high-quality work to this Special Issue, which is led by experienced researchers in the subject, fostering collaboration and pushing forward the boundaries of fractional equations. By doing so, they can contribute to the ongoing exploration and understanding of fractional calculus, consolidating cutting-edge research. This Special Issue aims to pave the way for innovative solutions and breakthroughs in the intricate new realm of equations driven by fractional operators, addressing real-world challenges and/or abstract mathematical problems.
Dr. J. Vanterler Da C. Sousa
Dr. Leandro Tavares
Guest Editors
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Keywords
- fractional equations
- critical point theory
- monotonic arguments
- topological methods
- fixed point
- Ψ–Hilfer fractional derivative
- existence and uniqueness
- continuous dependence of solutions
- successive approximations
- Mittag–Leffler function
- generalized Mittag–Leffler function
