Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation

Authors

  • Faraj Y. Ishak University of Duhok, Iraq

DOI:

https://doi.org/10.15642/mantik.2022.8.2.89-98

Keywords:

Volterra equation , Krasnoselskii theorem, Banach contraction principle, Leray-Schauder degree theory

Abstract

In this paper we present the existence of solutions for a nonlinear fractional integral equation of Volterra type with mixed boundary conditions, some necessary hypotheses have been developed to prove the existence of solutions to the proposed equation. Krasnoselskii Theorem, Banach Contraction principle, and Leray-Schauder degree theory are the basic theorems used here to find the results. A simple example of the application of the main result is presented.

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Author Biography

Faraj Y. Ishak, University of Duhok, Iraq

 

 

References

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Published

2022-12-31

How to Cite

Ishak, F. Y. (2022). Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation. Jurnal Matematika MANTIK, 8(2), 89–98. https://doi.org/10.15642/mantik.2022.8.2.89-98

Issue

Vol. 8 No. 2 (2022): September - November

Section

Articles

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Copyright (c) 2022 Faraj Saka

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