Alireza Hatami

Existence and uniqueness results for a new class of coupled Urysohn–Hammerstein-type Ψ-Katugampola fractional integral equations

In this paper, we study a new class of coupled nonlinear fractional integral equations involving the Ψ-Katugampola fractional integral operator. By applying Dhage’s fixed point theorem in a Banach algebra, we establish sufficient conditions for the existence of solutions to the p...

Weak Solutions and Uniqueness Results for Sequential q‐Fractional Pantograph Equations Under Weak Topology

ABSTRACT The purpose of this paper is to investigate the existence and uniqueness of weak solutions for a nonlinear sequential quantum Liouville–Caputo fractional differential equation subject to a nonlocal initial condition, where the initial value is defined through a continuou...