Functional delay fractional equations-Reference-Cited by-同舟云学术

Functional delay fractional equations

Published:2016-08-01 Issue:4 Volume:19 Page:1050-1058
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Jankowski Tadeusz¹

Affiliation:

1. Gdansk University of Technology Department of Differential Equations and Applied Mathematics 11/12 G. Narutowicz Str., 80–233 Gdańsk, Poland

Abstract

Abstract In this paper we discuss functional delay fractional equations. A Banach fixed point theorem is applied to obtain the existence (uniqueness) theorem. We also discuss such problems when a delay argument has a form α(t) = αt, 0 < α < 1, by using the method of successive approximations. Some existence results are also formulated in this case. An example illustrates the main result.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2016-0057/pdf

Reference10 articles.

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5. T. Jankowski, Existence results to delay fractional differential equations with nonlinear boundary conditions. Appl. Math. Comput. 219 (2013), 9155–9164.