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

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.

DOI

10.3906/mat-2008-61

Keywords

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

First Page

125

Last Page

138

Recommended Citation

LYONS, J. W, & NEUGEBAUER, J. 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 45 (1): 125-138. https://doi.org/10.3906/mat-2008-61