Nonlinear Hilfer Cotangent Pdes: Stability Analysis and Approximation Solutions

Puntos clave

• The research aims to analyze the stability and construct approximate solutions for Hilfer cotangent partial fractional differential equations.
• Established existence and uniqueness of solutions using fixed-point theorems.
• Constructed approximate solutions to fractional differential equations.
• Analyzed stability through a fractional Grönwall-type inequality.
• Confirmed well-posedness and stability of the proposed system.
• Demonstrated generalized Ulam-Hyers and Ulam-Hyers-Rassias stability results.
• Provided an example illustrating the theoretical findings.

Resumen