Maximum Principles for a Caputo–Katugampola Fractional Differential Equation in a Network

Key Points

• The central aim is to establish extremum principles for Caputo–Katugampola fractional differential equations in network contexts.
• Analyzed fractional differential equations using the Caputo–Katugampola derivative.
• Proved results on the uniqueness of solutions based on initial conditions.
• Investigated the continuity of solutions in relation to initial data.
• Demonstrated extremum principles applicable to the fractional differential equations.
• Established the uniqueness of solutions under defined initial data conditions.
• Confirmed continuity of solutions influenced by initial parameters.