Mittag‐Leffler functions and their applications

HJ Haubold, AM Mathai… - Journal of applied …, 2011 - Wiley Online Library
Motivated essentially by the success of the applications of the Mittag‐Leffler functions in
many areas of science and engineering, the authors present, in a unified manner, a detailed …

Nonperturbative properties of Yang–Mills theories

MQ Huber - Physics Reports, 2020 - Elsevier
Yang–Mills theories are an important building block of the standard model and in particular
of quantum chromodynamics. Its correlation functions describe the behavior of its …

[HTML][HTML] Heat transfer analysis of radiator using different shaped nanoparticles water-based ternary hybrid nanofluid with applications: A fractional model

M Arif, P Kumam, W Kumam, Z Mostafa - Case Studies in Thermal …, 2022 - Elsevier
The suspension of nanoparticles in the conventional base fluids getting more attention of the
scholars and researchers due to its unique thermal performance in different field of …

[图书][B] General fractional derivatives: theory, methods and applications

XJ Yang - 2019 - taylorfrancis.com
General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

[图书][B] General fractional derivatives with applications in viscoelasticity

XJ Yang, F Gao, Y Ju - 2020 - books.google.com
General Fractional Derivatives with Applications in Viscoelasticity introduces the newly
established fractional-order calculus operators involving singular and non-singular kernels …

[HTML][HTML] Unsteady natural convection flow due to fractional thermal transport and symmetric heat source/sink

D Vieru, C Fetecau, NA Shah, SJ Yook - Alexandria Engineering Journal, 2023 - Elsevier
Unsteady natural convection flow of viscous fluids in a circular cylinder, due to a generalized
fractional thermal transport is analytically studied. The considered mathematical model is …

New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations

S Maitama, W Zhao - arXiv preprint arXiv:1904.11370, 2019 - arxiv.org
In this paper, we introduce a Laplace-type integral transform called the Shehu transform
which is a generalization of the Laplace and the Sumudu integral transforms for solving …

What is a fractional derivative?

MD Ortigueira, JAT Machado - Journal of computational Physics, 2015 - Elsevier
This paper discusses the concepts underlying the formulation of operators capable of being
interpreted as fractional derivatives or fractional integrals. Two criteria for required by a …

Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications

M Arif, L Di Persio, P Kumam, W Watthayu, A Akgül - Scientific Reports, 2023 - nature.com
During last decades the research of nanofluid is of great interest all over the World,
particularly because of its thermal applications in engineering, and biological sciences …