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

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...

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Bibliographic Details
Published inAlexandria engineering journal Vol. 73; pp. 259 - 267
Main Authors Hussain, Sadam, Sarwar, Muhammad, Mlaiki, Nabil, Azmi, Fatima
Format Journal Article
LanguageEnglish
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
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Summary: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 system by using the concept of Banach fixed point theorem and semigroup theory. For the authenticity and applicability of the presented theory some examples are also provided.
ISSN:1110-0168
DOI:10.1016/j.aej.2023.04.029