Related Experiment Video
Updated: Nov 1, 2025

Assembly and Characterization of Biomolecular Memristors Consisting of Ion Channel-doped Lipid Membranes
Published on: March 9, 2019
Possibility of information encoding/decoding using the memory effect in fractional-order capacitive devices
Anis Allagui1,2,3, Ahmed S Elwakil4,5,6
1Department of Sustainable and Renewable Energy Engineering, University of Sharjah, PO Box 27272, Sharjah, United Arab Emirates. aallagui@sharjah.ac.ae.
Supercapacitors with fractional-order behavior show discharge patterns dependent on their charging history. This material memory effect enables information storage and retrieval, opening new possibilities for data processing.
Area of Science:
- Materials Science
- Electrical Engineering
- Applied Mathematics
Background:
- Supercapacitors store energy via electrochemical processes.
- Fractional-order dynamics describe systems with memory effects.
- Understanding charge/discharge behavior is crucial for device performance.
Purpose of the Study:
- To investigate the history-dependence of supercapacitor discharge voltage.
- To explore the potential for information storage using material memory.
- To develop a fractional calculus-based model for this phenomenon.
Main Methods:
- Applied a power-law voltage function for supercapacitor charging.
- Analyzed discharge voltage patterns under constant resistance load.
- Developed an analytical model using fractional calculus.
Main Results:
- Discharge voltage patterns were found to be dependent on the charging voltage profile.
- Information encoded in the charging waveform was successfully retrieved.
- A fractional calculus model phenomenologically explained the information storage mechanism.
Conclusions:
- Supercapacitors with fractional-order behavior exhibit intrinsic material memory.
- This memory effect can be leveraged for novel information storage and retrieval methods.
- Fractional calculus provides a framework for understanding and utilizing this memory.
Related Concept Videos
MOS Capacitor
The metal gate is typically made from highly conductive materials such as aluminum or polysilicon. Beneath the metal gate lies a thin layer of...
Capacitors
When a voltage source is connected to a capacitor, positive and negative charges accumulate on the opposite plates. This accumulation generates a potential difference that equals the product of the...
Equivalent Capacitance
Equivalent Capacitance
The following strategies are adopted to calculate...
Energy Stored in Capacitors
By integrating the equation that relates voltage and current in a capacitor, one can derive an equation for the voltage across the capacitor at any given time. This equation is crucial in understanding and predicting the behavior of capacitors in...
Design Example: Capacitance Multiplier Circuit
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

