Qualitative Properties of Positive Solutions of a Kind for Fractional Pantograph Problems using Technique Fixed Point Theory

The current paper intends to report the existence and uniqueness of positive solutions for nonlinear pantograph Caputo–Hadamard fractional differential equations. As part a procedure, we transform specified equation into an equivalent integral equation. We show that this has solution by utilising Schauder fixed point theorem (SFPT) upper lower method. Another method proving singular is Banach (BFPT). Finally, provide example illustrates explains our conclusions.