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Fractional Research in Analysis, Convexity, and Their Applications Laboratory

Organization profile

Organization profile

The FRACTAL group is dedicated to the advanced study of fractional differential equation theory, nonlinear analysis, and generalized convexity. We seek to develop and apply theoretical and numerical tools to address complex problems in these fields. Key objectives include:

  • Developing and applying innovative methods in solving nonlinear fractional equations, extending classical results to more general and complex contexts.
  • Establishing new theoretical connections between nonlinear analysis, generalized convexity, and fractional variations to explore fundamental properties of functions, their stability, and existence of solutions.
  • Designing practical applications that utilize these theoretical frameworks to model physical, biological, and economic phenomena, with a focus on nonlinear dynamic systems and their control.
  • Promoting the use of advanced numerical techniques for simulation and solution of fractional and nonlinear models, allowing for approximate solutions in real-world contexts.
  • Collaborating internationally with other research centers, expanding the theoretical and applied base of nonlinear analysis and differential equations in interdisciplinary contexts.

UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. Our work contributes towards the following SDG(s):

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being
  2. SDG 4 - Quality Education
    SDG 4 Quality Education
  3. SDG 6 - Clean Water and Sanitation
    SDG 6 Clean Water and Sanitation
  4. SDG 7 - Affordable and Clean Energy
    SDG 7 Affordable and Clean Energy
  5. SDG 9 - Industry, Innovation, and Infrastructure
    SDG 9 Industry, Innovation, and Infrastructure
  6. SDG 10 - Reduced Inequalities
    SDG 10 Reduced Inequalities

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  • 3 Invited talk