Fractional Calculus Modeling

Advanced modeling framework for long-term memory using fractional calculus in various applications.

Model Design Phase
A close-up view of a chalkboard filled with various mathematical equations and symbols, written in white chalk on a dark surface. The focus is on the center, displaying formulas and expressions such as E=mc² among others.
A close-up view of a chalkboard filled with various mathematical equations and symbols, written in white chalk on a dark surface. The focus is on the center, displaying formulas and expressions such as E=mc² among others.

Developing optimized long-term memory models based on fractional calculus principles and dynamic equations.

A collection of complex mathematical diagrams and equations displayed on a blackboard-like background. Various geometric shapes, graphs, and physics formulas are intricately detailed, showing a range of mathematical concepts from calculus to geometry and trigonometry.
A collection of complex mathematical diagrams and equations displayed on a blackboard-like background. Various geometric shapes, graphs, and physics formulas are intricately detailed, showing a range of mathematical concepts from calculus to geometry and trigonometry.
A person stands facing a chalkboard filled with mathematical equations, in a dimly lit classroom. Overhead, a fluorescent light illuminates the room, casting soft shadows. The person appears to be writing on the board, dressed casually in pants and a long-sleeved shirt.
A person stands facing a chalkboard filled with mathematical equations, in a dimly lit classroom. Overhead, a fluorescent light illuminates the room, casting soft shadows. The person appears to be writing on the board, dressed casually in pants and a long-sleeved shirt.
Experimental Validation Phase

Testing model performance with real-world datasets for effective time series analysis.

Application Testing Phase

Evaluating practical applications of the developed long-term memory models in various fields.

Fractional Calculus

Innovative modeling framework for long-term memory applications.

A mechanical pencil rests on a notebook filled with handwritten mathematical equations. The formulas include terms such as V3, V2 with elements circled and lines drawn across the page. The use of pen and paper suggests an academic or study setting.
A mechanical pencil rests on a notebook filled with handwritten mathematical equations. The formulas include terms such as V3, V2 with elements circled and lines drawn across the page. The use of pen and paper suggests an academic or study setting.
Model Design

Developing dynamic equations for long-term memory modeling.

A person is holding a laptop displaying geometric diagrams and equations. The screen shows a cube, a pyramid, and a cylinder with annotations. In the background, there is an open notebook on a wooden table, suggesting a study or learning environment.
A person is holding a laptop displaying geometric diagrams and equations. The screen shows a cube, a pyramid, and a cylinder with annotations. In the background, there is an open notebook on a wooden table, suggesting a study or learning environment.
Experimental Validation

Testing model performance with complex time series data.

A human brain model is floating against a soft, abstract white background with curved, ribbed structures. The brain is illuminated with a warm, glowing hue, highlighting its intricate surface details.
A human brain model is floating against a soft, abstract white background with curved, ribbed structures. The brain is illuminated with a warm, glowing hue, highlighting its intricate surface details.
An open book with mathematical formulas and graphs is accompanied by a pair of black-rimmed glasses resting on the pages.
An open book with mathematical formulas and graphs is accompanied by a pair of black-rimmed glasses resting on the pages.
Application Testing

Evaluating practical applications of the developed memory model.

Theoretical Analysis

Studying mathematical characteristics of fractional calculus applications.

Research

Innovative modeling for long-term memory analysis.

© 2025. All rights reserved.