Existence and controllability of fractional semilinear mixed Volterra-Fredholm integro differential equation

• Published in: Alexandria engineering journal Vol. 73; pp. 259 - 267
• Main Authors: Hussain, Sadam, Sarwar, Muhammad, Mlaiki, Nabil, Azmi, Fatima
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.07.2023; Elsevier
• Subjects: Controllability; Fixed point; Mild solution; Volterra–Fredholm integro differential equation; Secondary; Primary 34A08; Primary; Controllability; Mild solution; Volterra–Fredholm integro differential equation; Fixed point

In this paper, the existence of mild solution and controllability of fractional semilinear mixed Volterra–Fredholm integro differential equations of order 1<γ<2 with nonlocal conditions are investigated. First we discuss the existence of mild solution and then controllability of the proposed s...