Translator Disclaimer
October 2022 Positive solutions for a class of nonlinear fractional differential equations with derivative terms
Haide Gou
Rocky Mountain J. Math. 52(5): 1619-1641 (October 2022). DOI: 10.1216/rmj.2022.52.1619

Abstract

We deal with the existence of positive solutions for nonlinear fractional differential equations whose nonlinearity contains the first-order derivative in a Banach space E. Under the superlinear and sublinear growth of nonlinear f, which contains the first-order derivative, we obtain the existence of positive solutions. Our discussion is based on the fixed point index theory of condensing mapping in cones.

Citation

Download Citation

Haide Gou. "Positive solutions for a class of nonlinear fractional differential equations with derivative terms." Rocky Mountain J. Math. 52 (5) 1619 - 1641, October 2022. https://doi.org/10.1216/rmj.2022.52.1619

Information

Received: 23 December 2019; Revised: 2 March 2020; Accepted: 2 March 2020; Published: October 2022
First available in Project Euclid: 28 November 2022

Digital Object Identifier: 10.1216/rmj.2022.52.1619

Subjects:
Primary: 34B10 , 34B15

Keywords: condensing mapping , cone , fixed point index , fractional differential equation , measure of noncompactness , ‎positive‎ ‎solutions

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
23 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.52 • No. 5 • October 2022
Back to Top