On the solvability fractional of a boundary value problem with new fractional integral


Bekkouche M. M. , Guebbai H., KURULAY M.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, cilt.64, no.2, ss.551-564, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 64
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s12190-020-01368-x
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • Sayfa Sayıları: ss.551-564

Özet

This work presents new techniques for finding solutions of linear fractional differential equation boundary value problem when the derivation is conformable fractional of Caputo type, the first technique we will study the method that converts an initial value problem to an equivalent linear ordinary differential equation of second order. In order to find solution by an other technique we introduce a new definition of fractional integral as an inverse of the conformable fractional derivative of Caputo. Also, some examples are included to improve the validity and applicability of the techniques.