Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem - Open Journal of Applied Sciences

OJAppS > Vol.9 No.10, October 2019

Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem ()

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Download as PDF (Size: 383KB) PP. 749-760

DOI: 10.4236/ojapps.2019.910061 703 Downloads 1,727 Views Citations

Author(s)

Rodica Luca^1*, Alexandru Tudorache²

Affiliation(s)

¹Department of Mathematics, Gh. Asachi Technical University, Iasi, Romania.
²Faculty of Computer Engineering and Automatic Control, Gh. Asachi Technical University, Iasi, Romania.

ABSTRACT

We investigate the existence of nonnegative solutions for a Riemann-Liouville fractional differential equation with integral terms, subject to boundary conditions which contain fractional derivatives and Riemann-Stieltjes integrals. In the proof of the main results, we use the Banach contraction mapping principle and the Krasnosel’skii fixed point theorem for the sum of two operators.

KEYWORDS

Riemann-Liouville Fractional Differential Equations, Nonlocal Boundary Conditions, Nonnegative Solutions, Existence

Share and Cite:

Luca, R. and Tudorache, A. (2019) Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem. Open Journal of Applied Sciences, 9, 749-760. doi: 10.4236/ojapps.2019.910061.

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