Results on Existence, Uniqueness, and Stability of an Impulsive Caputo–Katugampola Hybrid FDE With p‐Laplacian Operator

ABSTRACT The article deals with a second kind of hybrid noninstantaneous impulsive fractional differential equation with ‐Laplacian operator involving Caputo–Katugampola fractional derivatives. The rudimentary concept of this article is to establish the existence, uniqueness, Hyers–Ulam stability, and Hyers–Ulam–Rassias stability. The fixed point approach is the basis for establishing the results of solution to the considered problem. An example is also given to highlight the main findings.