Further midpoint inequalities via generalized fractional operators in Riemann–Liouville sense

AA Hyder, H Budak, AA Almoneef - Fractal and Fractional, 2022 - mdpi.com
In this study, new midpoint-type inequalities are given through recently generalized
Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of …

Conformable fractional Newton-type inequalities with respect to differentiable convex functions

C Ünal, F Hezenci, H Budak - Journal of Inequalities and Applications, 2023 - Springer
The authors propose a new method of investigation of an integral identity according to
conformable fractional operators. Moreover, some Newton-type inequalities are considered …

Novel results on trapezoid-type inequalities for conformable fractional integrals

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 …

A Study on the New Class of Inequalities of Midpoint‐Type and Trapezoidal‐Type Based on Twice Differentiable Functions with Conformable Operators

H Kara, H Budak, S Etemad, S Rezapour… - Journal of Function …, 2023 - Wiley Online Library
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 …

[PDF][PDF] Exact solution for heat conduction inside a sphere with heat absorption using the regularized Hilfer-Prabhakar derivative

H Elhadedy, MSA Latif, HM Nour… - Journal of Applied …, 2022 - bibliotekanauki.pl
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 …

Simpson-type inequalities for conformable fractional operators with respect to twice-differentiable functions

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 …

A study on error bounds for Newton-type inequalities in conformable fractional integrals

H Budak, C Ünal, F Hezenci - Mathematica Slovaca, 2024 - degruyter.com
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 …

Exact Solutions for a Class of Variable Coefficients Fractional Differential Equations Using Mellin Transform and the Invariant Subspace Method

MSA Latif, D Baleanu, AHA Kader - Differential Equations and Dynamical …, 2024 - Springer
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 …

[PDF][PDF] Certain Simpson-type inequalities for twice-differentiable functions by conformable fractional integrals

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 …

[PDF][PDF] THE VELOCITY FIELD TO UNSTEADY FLUID FLOW IN A CIRCULAR CYLINDER WITH GENERALIZED CAPUTO FRACTIONAL DERIVATIVE

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 …