Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions

Shayma Adil Murad; Hussein Jebrail Zekri; Samir Hadid

doi:10.1155/2011/304570

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2011 Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions

Shayma Adil Murad, Hussein Jebrail Zekri, Samir Hadid

Int. J. Differ. Equ. 2011(SI1): 1-15 (2011). DOI: 10.1155/2011/304570

Abstract

We study the existence and uniqueness of the solutions of mixed Volterra-Fredholm type integral equations with integral boundary condition in Banach space. Our analysis is based on an application of the Krasnosel'skii fixed-point theorem.

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Shayma Adil Murad. Hussein Jebrail Zekri. Samir Hadid. "Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions." Int. J. Differ. Equ. 2011 (SI1) 1 - 15, 2011. https://doi.org/10.1155/2011/304570