Applications of distributed-order fractional operators: A review

W Ding, S Patnaik, S Sidhardh, F Semperlotti - Entropy, 2021 - mdpi.com
Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects

MB Hafeez, M Krawczuk - Archives of Computational Methods in …, 2024 - Springer
In this article, we will discuss the applications of the Spectral element method (SEM) and
Finite element Method (FEM) for fractional calculusThe so-called fractional Spectral element …

Generation of new fractional inequalities via n polynomials s-type convexity with applications

S Rashid, İ İşcan, D Baleanu, YM Chu - Advances in Difference Equations, 2020 - Springer
Abstract The celebrated Hermite–Hadamard and Ostrowski type inequalities have been
studied extensively since they have been established. We find novel versions of the Hermite …

Some New Refinements of Hermite–Hadamard‐Type Inequalities Involving ψk‐Riemann–Liouville Fractional Integrals and Applications

MU Awan, S Talib, YM Chu, MA Noor… - Mathematical Problems …, 2020 - Wiley Online Library
The main objective of this article is to establish some new fractional refinements of Hermite–
Hadamard‐type inequalities essentially using new ψk‐Riemann–Liouville fractional …

[PDF][PDF] Ostrowski type inequalities in the sense of generalized K-fractional integral operator for exponentially convex functions

S Rashid, MA Noor, KI Noor, YM Chu - AIMS Math, 2020 - aimspress.com
The investigation of the proposed methods is effective and convenient for solving the
integrodifferential and difference equations. In this note, we introduce the generalized K …

Some New Hermite–Hadamard‐Type Inequalities Associated with Conformable Fractional Integrals and Their Applications

A Iqbal, MA Khan, S Ullah… - Journal of Function Spaces, 2020 - Wiley Online Library
Some New Hermite–Hadamard‐Type Inequalities Associated with Conformable Fractional
Integrals and Their Applications Page 1 Research Article Some New Hermite–Hadamard-Type …

A note on reverse Minkowski inequality via generalized proportional fractional integral operator with respect to another function

S Rashid, F Jarad, YM Chu - Mathematical Problems in …, 2020 - Wiley Online Library
This study reveals new fractional behavior of Minkowski inequality and several other related
generalizations in the frame of the newly proposed fractional operators. For this, an efficient …

On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals

S Rashid, F Jarad, H Kalsoom, YM Chu - Advances in Difference …, 2020 - Springer
In this paper, we introduce the generalized k-fractional integral in terms of a new parameter
k> 0 k>0, present some new important inequalities of Pólya–Szegö and Čebyšev types by …

Dynamics analysis on a class of delayed neural networks involving inertial terms

J Zhang, C Huang - Advances in Difference Equations, 2020 - Springer
This paper explores a class of unbounded distributed delayed inertial neural networks. By
introducing some new differential inequality analysis and abandoning the traditional order …

New estimates considering the generalized proportional Hadamard fractional integral operators

SS Zhou, S Rashid, F Jarad, H Kalsoom… - Advances in Difference …, 2020 - Springer
In the article, we describe the Grüss type inequality, provide some related inequalities by
use of suitable fractional integral operators, address several variants by utilizing the …