Existence of a Positive Solution for a Singular Fractional Boundary Value Problem with Fractional Boundary Conditions using Convolution and Lower Order Problems

Authors

Jeffrey W. Lyons
Jeffrey T. Neugebauer, Eastern Kentucky UniversityFollow

Author ORCID Identifier

Jeffrey Neugebauerhttps://orcid.org/0000-0003-2450-4169

Department

Mathematics and Statistics

Document Type

Article

Publication Date

1-1-2021

Abstract

Existence of a positive solution is shown for two singular two-point fractional boundary value problems with fractional boundary conditions using fixed point theory, lower order problems, and convolution of Green's functions. A nontrivial example is included.

Recommended Citation

Lyons, Jeffrey W. and Neugebauer, Jeffrey T., "Existence of a Positive Solution for a Singular Fractional Boundary Value Problem with Fractional Boundary Conditions using Convolution and Lower Order Problems" (2021). EKU Faculty and Staff Scholarship. 624.
https://encompass.eku.edu/fs_research/624

Journal Title

Turkish Journal of Mathematics