Solvability for Hadamard Fractional Integral Equations via Fixed Point Theorem
摘要
In this chapter, we examine the Hadamard fractional integral equation. The authors establish that this integral equation has at least one solution in the Banach space of all real-valued continuous functions on \(C([1, b])\) under some weaker conditions. The main theory in the investigation is a fixed-point theorem due to Petryshyn’s and a measure of non-compactness. We provide some examples of equations, which ensure that our result is suitable to a wide class of integral equations.