Two hybrid and non-hybrid k-dimensional inclusion systems via sequential fractional derivatives

Aydoğan S. M., Sakar F. M., Fatehi M., Rezapour S., Masiha H. P.

ADVANCES IN DIFFERENCE EQUATIONS, cilt.2021, sa.1, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1186/s13662-021-03606-3
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: alpha-psi-contraction, Endpoint, Inclusion system, Sequential hybrid inclusion problem, The Caputo derivative, BOUNDARY-VALUE PROBLEM, FIXED-POINT THEOREMS, DIFFERENTIAL-EQUATIONS, ELECTROCHEMICAL NOISE, CARBON-STEEL, CORROSION, EXISTENCE
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Some complicated events can be modeled by systems of differential equations. On the other hand, inclusion systems can describe complex phenomena having some shocks better than the system of differential equations. Also, one of the interests of researchers in this field is an investigation of hybrid systems. In this paper, we study the existence of solutions for hybrid and non-hybrid k-dimensional sequential inclusion systems by considering some integral boundary conditions. In this way, we use different methods such as alpha-psi contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.