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, vol.2021, no.1, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2021 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1186/s13662-021-03606-3
  • Keywords: 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


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.