MMN-4594
General ((k,p),ψ)-Hilfer fractional integrals
Bouharket Benaissa;
Huseyin Budak;
Abstract
The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p called ((k,p),ψ)-Hilfer fractional integrals which is determined over the k-gamma function. We first prove that these operators are well-defined, continuous and have semi-group property. Then, particularly, we present the harmonic, geometric and arithmetic (k,p),ψ-Hilfer fractional integrals. Moreover, some special cases relating to general ((k,p),ψ)-Riemann-Liouville fraction integrals are given.
Vol. 25 (2024), No. 2, pp. 617-627