Conformable fractional Sturm-Liouville equation


Allahverdiev B. , Tuna H., YALCİNKAYA Y.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, ss.3508-3526, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 10
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/mma.5595
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.3508-3526

Özet

In this article, we discuss a conformable fractional Sturm-Liouville boundary-value problem. We prove an existence and uniqueness theorem for this equation and formulate a self-adjoint boundary value problem. We also construct the associated Green function of this problem, and we give the eigenfunction expansions. Finally, we will give some examples.