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All Journal Jurnal Matematika: MANTIK
Faraj Y. Ishak
University of Duhok, Iraq
Mathematics

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Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation Faraj Y. Ishak
Jurnal Matematika MANTIK Vol. 8 No. 2 (2022): September - November
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.2.89-98

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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