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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Existence and Uniqueness of Solutions for the Neutral Fractional Integro-Differential Equations with Fractional Integral Boundary Conditions

Journal of Vibration Testing and System Dynamics 6(1) (2022) 1--11 | DOI:10.5890/JVTSD.2022.03.001

Ahmed A. Hamoud$^{1}$ , Abdulrahman A. Sharif$^{2}$, Kirtiwant P. Ghadle$^{3}$

$^{1}$ Department of Mathematics, Taiz University, Taiz, Yemen

$^{2}$ Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen

$^{3}$ Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India

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Abstract

In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for a class of boundary value problems with integral condition for neutral fractional integro-differential equations. The results are established by the application of the contraction mapping principle, Leray-Schauder alternative theorem and Krasnoselskii fixed point theorem. An example is provided to illustrate the main results.

Acknowledgments

The authors would like to thank the referees and the editor of this journal for their valuable suggestions and comments that improved this paper.

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