Existence and uniqueness of solutions to anti-periodic Riezs-Caputo impulsive fractional boundary value problems

Toprakseven Ş.

Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.14, sa.1, ss.71-82, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.32513/tmj/1932200816
  • Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.71-82
  • Anahtar Kelimeler: anti-periodic boundary value problem, fractional boundary value problem, impulses, Riesz-Caputo derivative
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we prove the existence and uniqueness of solutions for a class of impulsive fractional initial/boundary value problems of the Riesz-Caputo differential equation with anti- peroidic boundary condition. In the final section, we give some numerical examples to verify the theoretical results.