Abstract

In this manuscript, we studied some sufficient condition for the asymptotically stable of the zero solution of pantograph Caputo fractional differential equations of order (1 <  < 2). In a weighted Banach space, we used Krasnoselskii&rsquo;s fixed point theorem to derive new reIn this manuscript, we studied some sufficient condition for the asymptotically stable of the zero solution of pantograph Caputo fractional differential equations of order (1 <  < 2). In a weighted Banach space, we used Krasnoselskii&rsquo;s fixed point theorem to derive new results based on the asymptotically stable zero solution provided that g (t, 0) = f (t, 0, 0) = 0, which incorporates and modifies several previous results. Give an example that reflects our discovery.sults based on the asymptotically stable zero solution provided that g (t, 0) = f (t, 0, 0) = 0, which incorporates and modifies several previous results. Give an example that reflects our discovery.