Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay

Key Points

• Finite time blow-up occurs in fractional thermal dynamics, indicating potential limits in material performance.
• Theoretical analysis demonstrates stabilization techniques for piezoelectric beams under thermal conditions.
• Approach employs mathematical modeling to explore fractional order effects on stability and behavior.
• Findings highlight the need for careful consideration of design parameters in piezoelectric applications.