Journal of Vibration Testing and System Dynamics
Existence and Uniqueness of Solutions for the Neutral
Fractional IntegroDifferential Equations with Fractional Integral Boundary Conditions
Journal of Vibration Testing and System Dynamics 6(1) (2022) 111  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, AlHodeidah, 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 integrodifferential equations. The results are established by the application of the contraction mapping principle, LeraySchauder 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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