TY  - JOUR
TI  - Study of the φ-generalized type k-fractional integrals or derivatives and some of their properties
AB  - A novel fractional integral in the sense of Riemann-Liouville integral and two new fractional derivatives in
the sense of Riemann-Liouville derivative and Caputo derivative with respect to another function and two parameters
are introduced. Some significant properties of them are presented like semigroup property, inverse property, etc. The
solution of the Cauchy-type problem for the nonhomogenous linear differential equation with the φ-generalized Caputo
$k$-fractional derivative is given by using the method of successive approximation.
AU  - AYDIN, MUSTAFA
AU  - Mahmudov, Nazim
DO  - 10.55730/1300-0098.3167
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 4
SN  - 1300-0098
SP  - 1384
EP  - 1396
DB  - TRDizin
UR  - http://search/yayin/detay/535417
ER  -