Results 31 to 40 of about 1,352,109 (152)
Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Fractal and Fractional, 2021 In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 more
doaj +1 more source
Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
core +4 more sources
Fractal and FractionalWe prove the inequalities of the weighted Hermite–Hadamard type the and Hermite–Hadamard–Mercer type for an extremely rich class of geometrically arithmetically-h-convex functions (GA-h-CFs) via generalized Hadamard–Fractional integral operators (HFIOs).
Asfand Fahad +5 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
doaj +1 more source
Advanced Intelligent Discovery, EarlyView.In this study we employed support vector regressor and quantum support vector regressor to predict the hydrogen storage capacity of metal–organic frameworks using structural and physicochemical descriptors. This study presents a comparative analysis of classical support vector regression (SVR) and quantum support vector regression (QSVR) in predicting ...
Chandra Chowdhury
wiley +1 more source
On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series
Advances in Difference Equations, 2020 In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar +2 more
doaj +1 more source
Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi +2 more
wiley +1 more source
Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core +1 more source
Controllability and Observability Conditions for Impulsive DAEs on Time Scales
Asian Journal of Control, EarlyView.ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus +3 more
wiley +1 more source
Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
doaj +1 more source