Turkish Journal of Mathematics
Abstract
In this study, we analyze a conformable fractional (CF) Sturm-Liouville (SL) equation with boundary conditions on an arbitrary time scale $\mathbb{T}$. Then we extend the basic spectral properties of the classical SL equation to the CF case. Finally, some sufficient conditions are established to guarantee the existence of a solution for this CF-SL problem on $\mathbb{T}$ by using certain fixed point theorems. For explaining these existence theorems, we give an example with appropriate choices.
DOI
10.3906/mat-1704-120
Keywords
Time scale calculus, conformable fractional derivative, existence theorem
First Page
1348
Last Page
1360
Recommended Citation
GÜLŞEN, T, YILMAZ, E, & KEMALOĞLU, H (2018). Conformable fractional Sturm-Liouville equation and some existenceresults on time scales. Turkish Journal of Mathematics 42 (3): 1348-1360. https://doi.org/10.3906/mat-1704-120
