Fractional Differential Equations: Advanced Results for Cases with Singularities
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 October 2024 | Viewed by 979
Special Issue Editors
Interests: time-frequency analysis; frame theory; functional analysis
Special Issues, Collections and Topics in MDPI journals
Interests: fractional diffrential equation; fixed point theory; stochastic processes
Special Issue Information
Dear Colleagues,
Fractional differential equations are being applied in medicine (modelling of human tissue under mechanical loads), (bio-)chemistry (modelling of polymers and proteins), mechanics (theory of viscoelasticity), electrical engineering (transmission of ultrasound waves), etc.
The aim of this Special Issue is to present some of the recent developments in the theory, methods, and applications of certain particularly important special cases which will demonstrate a rich variety of phenomena that may be encountered in the investigation of regular and singular fractional differential equations. This includes an analysis of solutions of regular fractional differential equations where the main emphasis will be on initial and boundary value problems, existence and uniqueness questions, the structural stability of the solutions, the smoothness properties of the solutions. However, singular equations will lead to solutions with properties that differ substantially from those that we have seen for regular problems.
The key objective of this Special Issue is to provide novel developments that may inspire advances or be used for the construction of numerical methods for fractional differential equations.
Dr. Suzana Aleksić
Dr. Sladjana Dimitrijević
Dr. Tatjana Tomović Mladenović
Guest Editors
Manuscript Submission Information
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Keywords
- fractional differential equations
- caputo fractional derivative
- caputo fractional integral
- riemann–liouville fractional derivative
- singular mixed problem
- singular
- initial value problems
- boundary value problems
- positive solution
- existence and nonexistence
- uniqueness and multiplicity
- stability
- regularization
- numerical computations
- fixed point theory on cones
