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

DOI

10.3906/mat-2008-61

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.

Keywords

Fractional differential equation, singular problem, fixed point, positive solution, convolution, change of variable

First Page

125

Last Page

138

Recommended Citation

LYONS, JEFFREY W. and NEUGEBAUER, JEFFREY T. (2021) "Existence of a positive solution for a singular fractional boundary value problem with fractional boundary conditions using convolution and lower order problems," Turkish Journal of Mathematics: Vol. 45: No. 1, Article 8. https://doi.org/10.3906/mat-2008-61
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/8