TY - JOUR
T1 - Two hybrid and non-hybrid k-dimensional inclusion systems via sequential fractional derivatives
AU - Aydogan, Seher Melike
AU - Sakar, Fethiye Muge
AU - Fatehi, Mostafa
AU - Rezapour, Shahram
AU - Masiha, Hashem Parvaneh
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/12
Y1 - 2021/12
N2 - 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 α-ψ contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.
AB - 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 α-ψ contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.
KW - Endpoint
KW - Inclusion system
KW - Sequential hybrid inclusion problem
KW - The Caputo derivative
KW - α-ψ-contraction
UR - http://www.scopus.com/inward/record.url?scp=85117271209&partnerID=8YFLogxK
U2 - 10.1186/s13662-021-03606-3
DO - 10.1186/s13662-021-03606-3
M3 - Article
AN - SCOPUS:85117271209
SN - 1687-1839
VL - 2021
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 449
ER -