2019 Existence results for a semipositone singular fractional differential equation
Rim Bourguiba, Faten Toumi
Rocky Mountain J. Math. 49(8): 2495-2512 (2019). DOI: 10.1216/RMJ-2019-49-8-2495

Abstract

This paper provides sufficient conditions to guarantee the existence and multiplicity of positive solutions for a singular semipositone fractional equation, subject to integral boundary value condition and parametric dependence $\mu $. Our approach relies on Krasnoselskii's fixed point theorem. Some examples are presented to illustrate our results.

Citation

Download Citation

Rim Bourguiba. Faten Toumi. "Existence results for a semipositone singular fractional differential equation." Rocky Mountain J. Math. 49 (8) 2495 - 2512, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2495

Information

Published: 2019
First available in Project Euclid: 31 January 2020

zbMATH: 07163183
MathSciNet: MR4058334
Digital Object Identifier: 10.1216/RMJ-2019-49-8-2495

Subjects:
Primary: 34A08
Secondary: 34B18 , 34B27 , 35G60

Keywords: dependence on a parameter , fractional differential equation , Green's function , integral boundary conditions , perturbed term , positive solution , semipositone

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
18 PAGES

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

Vol.49 • No. 8 • 2019
Back to Top