[PDF][PDF] The q-analogues of nonsingular fractional operators with Mittag-Leffler and exponential kernels

STM Thabet, I Kedim, B Abdalla, T Abdeljawad - Fractals, 2024 - researchgate.net
This manuscript is devoted to introducing a new q-fractional calculus in the framework of
Atangana-Baleanu (Ab) and Caputo-Fabrizio (cJ) operators. First, an appropriate q-Mittag …

[PDF][PDF] Analytical solutions of q-fractional differential equations with proportional derivative

AA Alderremy, MJS Belaghi, KM Saad… - AIMS …, 2021 - aimspress.com
In this paper, we aim to propose a novel q-fractional derivative in the Caputo sense included
proportional derivative. To this end, we firstly introduced a new concept of proportional q …

[PDF][PDF] TWO-PARAMETER POWER CALCULUS

I Gençtürk - Palestine Journal of Mathematics, 2024 - pjm.ppu.edu
In this paper, we introduce a new type of two-parameter power-calculus. The differentiation
and inverse of differentiation in this calculus are investigated and various properties of these …

THE COMPLEX LINE (p, q)-INTEGRAL AND (p, q)-GREEN'S FORMULA.

İ GENÇTÜRK, K KOCA - Transactions of A. Razmadze …, 2023 - search.ebscohost.com
Transactions of A. Razmadze Mathematical Institute Vol. 177 (2023), issue 1, 35–43 THE
COMPLEX LINE (p, q)-INTEGRAL AND (p, q) Page 1 Transactions of A. Razmadze …

[PDF][PDF] Transactions of A. Razmadze Mathematical Institute Vol. 177 (2023), issue 1, 35–43

IG T ÜRK, K KOCA - rmi.tsu.ge
Transactions of A. Razmadze Mathematical Institute Vol. 177 (2023), issue 1, 35–43 THE
COMPLEX LINE (p, q)-INTEGRAL AND (p, q) Page 1 Transactions of A. Razmadze …