[PDF][PDF] On some refinements for inequalities involving zero-balanced hypergeometric function

TH Zhao, ZY He, YM Chu - AIMS Math, 2020 - aimspress.com
On some refinements for inequalities involving zero-balanced hypergeometric function Page 1
http://www.aimspress.com/journal/Math AIMS Mathematics, 5(6): 6479–6495. DOI …

A new approach on fractional calculus and probability density function.

SB Chen, S Rashid, MA Noor, R Ashraf, YM Chu - AIMS Mathematics, 2020 - go.gale.com
In statistical analysis, oftentimes a probability density function is used to describe the
relationship between certain unknown parameters and measurements taken to learn about …

[HTML][HTML] Some new classes of preinvex fuzzy-interval-valued functions and inequalities

MB Khan, MA Noor, L Abdullah… - International Journal of …, 2021 - atlantis-press.com
It is well known that convexity and nonconvexity develop a strong relationship with different
types of integral inequalities. Due to the importance of the concept of nonconvexity and …

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

SI Butt, M Umar, S Rashid, AO Akdemir… - Advances in Difference …, 2020 - Springer
In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex
functions in the framework of the k-fractional conformable integrals by use of our new …

New fractional approaches for n-polynomial P-convexity with applications in special function theory

SB Chen, S Rashid, MA Noor, Z Hammouch… - Advances in Difference …, 2020 - Springer
Inequality theory provides a significant mechanism for managing symmetrical aspects in real-
life circumstances. The renowned distinguishing feature of integral inequalities and …

Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications

T Abdeljawad, S Rashid, Z Hammouch, İ İşcan… - Advances in Difference …, 2020 - Springer
The present article addresses the concept of p-convex functions on fractal sets. We are able
to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is …

[PDF][PDF] New Hermite-Hadamard type inequalities for exponentially convex functions and applications

SS Zhou, S Rashid, MA Noor, KI Noor, F Safdar… - AIMS Math, 2020 - aimspress.com
The investigation of the proposed techniques is effective and convenient for solving the
integrodifferential and difference equations. The present investigation depends on two …

[HTML][HTML] Exact travelling wave solutions for nonlinear system of spatiotemporal fractional quantum mechanics equations

M Alabedalhadi - Alexandria Engineering Journal, 2022 - Elsevier
Schrödinger equation is an indispensable model for quantum mechanics, used for
modelling several fascinating complex nonlinear physical systems, such as quantum …

Existence and stability results for coupled system of fractional differential equations involving AB-Caputo derivative

N Mehmood, A Abbas, A Akgül, T Abdeljawad… - Fractals, 2023 - World Scientific
In this paper, we use Krasnoselskii's fixed point theorem to find existence results for the
solution of the following nonlinear fractional differential equations (FDEs) for a coupled …

New computation of unified bounds via a more general fractional operator using generalized Mittag–Leffler function in the kernel

S Rashid, Z Hammouch, R Ashraf… - Computer Modeling in …, 2021 - ingentaconnect.com
In the present case, we propose the novel generalized fractional integral operator describing
Mittag–Leffler function in their kernel with respect to another function φ. The proposed …