Fractional differential equations on Lie groups and submonoids

Key Points

• The aim is to define fractional differential operators on Lie groups and investigate their solvability and solutions.
• Definition of fractional differential operators on Lie groups and submonoids.
• Establishment of solvability criteria and Fredholmness for these equations.
• Solution of six distinct Cauchy initial value problems for degenerate diffusion equations.
• Criteria for solvability and Fredholmness were successfully established.
• Fundamental solutions for operators with constant coefficients were provided.
• Six Cauchy initial value problems were solved, focusing on equations with fractional Hadamard type derivatives.