Open Access
WINTER-2015 Application of a global implicit function theorem to a general fractional integro-differential system of Volterra type
Dariusz Idczak, Stanislaw Walczak
J. Integral Equations Applications 27(4): 521-554 (WINTER-2015). DOI: 10.1216/JIE-2015-27-4-521

Abstract

In this paper, we use a global implicit function theorem for the investigation of the existence and uniqueness of a solution as well as the sensitivity of a Cauchy problem for a general integro-differential system of order $\alpha \in (0,1)$ of Volterra type, involving two functional parameters nonlinearly.

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Dariusz Idczak. Stanislaw Walczak. "Application of a global implicit function theorem to a general fractional integro-differential system of Volterra type." J. Integral Equations Applications 27 (4) 521 - 554, WINTER-2015. https://doi.org/10.1216/JIE-2015-27-4-521

Information

Published: WINTER-2015
First available in Project Euclid: 8 February 2016

zbMATH: 1334.26009
MathSciNet: MR3457681
Digital Object Identifier: 10.1216/JIE-2015-27-4-521

Subjects:
Primary: 26A33 , 34K37 , 47J07

Keywords: fractional derivatives , global implicit function theorem , Integro-differential equations , Sensitivity

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

Vol.27 • No. 4 • WINTER-2015
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