Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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AN INVESTIGATION ON THE EXISTENCE AND UNIQUENESS ANALYSIS OF THE FRACTIONAL NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Received : 2022.05.26
  • Accepted : 2022.07.28
  • Published : 2023.03.03
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Abstract

In this paper, by means of the Schauder fixed point theorem and Arzela-Ascoli theorem, the existence and uniqueness of solutions for a class of not instantaneous impulsive problems of nonlinear fractional functional Volterra-Fredholm integro-differential equations are investigated. An example is given to illustrate the main results.

Keywords

Acknowledgement

The author is very grateful to the editors and the anonymous referees for their careful reading of the manuscript and insightful comments, which helped to improve the quality and improvement of the presentation of the paper.

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