On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces
On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces
We provide and prove some new fundamental properties of the Erdélyi–Kober (EK) fractional operator, including monotonicity, boundedness, acting, and continuity in both Lebesgue spaces (Lp) and Orlicz spaces (Lφ). We employ these properties with the concept of the measure of noncompactness (MNC) associated with the fixed-point hypothesis (FPT) in solving …