Fractional Order Functional Differential Equations and Fixed Point Theory
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 December 2025 | Viewed by 565
Special Issue Editors
Interests: ecological differential dynamical system; neural network system; fractional order dynamical system; functional differential equation; parabolic partial differential equation
Special Issues, Collections and Topics in MDPI journals
Interests: stochastic control; stochastic systems; stochastic stability; stochastic delayed systems; markovian jump systems; stochastic complex networks
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The fractional order functional differential equation is an important kind of functional differential equation, which is a generalization of integer-order differential equation. Fractional order functional differential equations are widely used in physics, chemistry, biology, and engineering technology, especially as superior mathematical tools for describing phenomena and processes with memory or viscoelastic properties. Therefore, it is of great theoretical and practical value to study the dynamic behaviour of fractional order functional differential equations. In addition, fixed point theory is an important and powerful tool to discuss the solvability of fractional order functional differential equations. This Special Issue is a platform to enhance the communication and presentation of the latest research results of fractional functional differential equations. The main scope of this Special Issue (including but not limited to the points below) is outlined:
- Delay fractional differential and difference equations;
- Impulsive fractional differential and difference equations;
- Neutral fractional differential and difference equations;
- Applying fixed point theory to solve fractional differential and difference equations;
- Solvability and stability;
- Numerical solutions and simulations of fractional order functional differential equations;
- The practical application of fractional order functional differential equations.
Prof. Dr. Kaihong Zhao
Prof. Dr. Quanxin Zhu
Guest Editors
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Keywords
- delay fractional differential and difference equations
- impulsive fractional differential and difference equations
- neutral fractional differential and difference equations
- applying fixed point theory to solve fractional differential and difference equations
- solvability and stability
- numerical solutions and simulations of fractional order functional differential equations
- the practical application of fractional order functional differential equations
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