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A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations

Xiaoli DingDepartment of Mathematics, Xi’an Polytechnic University, Xi’an, ChinaBashir AhmadNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
2018en
ABI

Abstract

In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.

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