Resumen de Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations

Kamal Shah, Israr Ahmad, Juan José Nieto Roig , Ghaus Ur Rahman, Thabet Abdeljawad

• In this manuscript a qualitative analysis to a nonlinear coupled system of pantograph impulsive fractional differential equations (PIFDEs) is established. By the use of Banach and Krasnoselskii’s fixed-point theorems some adequate conditions for the existence and uniqueness of solution to the considered problem are developed. The advantage of using Krasnoselskii’s fixed-point theorem is that it uses slight relax compact conditions as compared to other fixed point results. Furthermore, the manuscript is enriched by adding some results about Ulam–Hyers type stability. Finally, with the help of pertinent examples, the obtained theoretical results are justified.