The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered …
F Hezenci, H BUDAK - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
This paper establishes an identity for the case of differentiable $ s-$ convex functions with respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type …
This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the obtained identities, we present new trapezoid‐type …
In this article, we utilize the finite Sine-Fourier transform and the Laplace transform for solving fractional partial differential equations with regularized Hilfer-Prabhakar derivative …
F Hezenci, H Budak - Journal Of Mathematical Extension, 2023 - ijmex.com
In this paper, we prove an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish …
The authors of the paper suggest a novel approach in order to examine an integral equality using conformable fractional operators. By using this identity, some Newton-type inequalities …
In this paper, we propose a class of variable coefficients fractional ordinary differential equations (FODEs). Using Mellin transform (MT), we have transformed this class into a …
F Hezenci, H Budak - Korean Journal of Mathematics, 2023 - kkms.org
In this paper, an equality is established by twice-differentiable convex functions with respect to the conformable fractional integrals. Moreover, several Simpson-type inequalities are …
EM Mohamed, AHA Kader - Journal of Applied Mathematics and …, 2024 - jamcm.pcz.pl
In this paper, we study the velocity field corresponding to the unsteady flow of a second- grade fluid with a generalized Caputo fractional derivative in a circular cylinder. The …