Some results on a system of multi-term fractional integro-differential equations


Aydoğan S. M., Ravash E., Rezapour S., Sakar F. M.

Turkish Journal Of Mathematics, cilt.45, sa.22, ss.1-15, 2020 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 22
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1903-51
  • Dergi Adı: Turkish Journal Of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1-15
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In present study, we investigate the existence of solution for a multi-term fractional integrodierential system with special boundary conditions under some dierent conditions. In this way, we provide dierent results for the existence of solutions for the system and also for obtaining unique solution for the system under dierent conditions. We also present three numerical examples in which by using the Legendre multi-wavelet method, we approximate solutions of the system. These examples illustrate our main results.