Results 21 to 30 of about 550,186 (331)

Shape invariant hypergeometric type operators with application to quantum mechanics

, 2006
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. The associated special functions are eigenfunctions of some shape invariant operators.
A.F. Nikiforov, F. Cooper, J.W. Dabrowska, L. Infeld, M.A. Jafarizadeh, N. Cotfas, N. Cotfas   +6 more
core   +1 more source

Mathematical analysis of the transmission dynamics of viral infection with effective control policies via fractional derivative

Nonlinear Engineering, 2023
It is well known that viral infections have a high impact on public health in multiple ways, including disease burden, outbreaks and pandemic, economic consequences, emergency response, strain on healthcare systems, psychological and social effects, and ...
Jan Rashid, Razak Normy Norfiza Abdul, Boulaaras Salah, Rehman Ziad Ur, Bahramand Salma   +4 more
doaj   +1 more source

New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators

Fractal and Fractional
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq, Rekha Srivastava, Rabab Alharbi, Ruhaila Md Kasmani, Sania Qureshi   +4 more
doaj   +1 more source

Logarithmic mathematical morphology: a new framework adaptive to illumination changes

, 2018
A new set of mathematical morphology (MM) operators adaptive to illumination changes caused by variation of exposure time or light intensity is defined thanks to the Logarithmic Image Processing (LIP) model. This model based on the physics of acquisition
AV Oppenheim, D Sugimura, G Matheron, G Noyel, H Heijmans, J Serra, L Meylan, L Navarro, M Jourlin, M Jourlin, YT Peng, ZR Lai   +11 more
core   +1 more source

Existence of Positive Solutions for Non-Local Magnetic Fractional Systems

Fractal and Fractional
In this paper, the existence of a weak positive solution for non-local magnetic fractional systems is studied in the fractional magnetic Sobolev space through a sub-supersolution method combined with iterative techniques.
Tahar Bouali, Rafik Guefaifia, Salah Boulaaras, Taha Radwan   +3 more
doaj   +1 more source

Tau function and Hirota bilinear equations for the Extended bigraded Toda Hierarchy

, 2010
In this paper we generalize the Sato theory to the extended bigraded Toda hierarchy (EBTH). We revise the definition of the Lax equations,give the Sato equations, wave operators, Hirota bilinear identities (HBI) and show the existence of $tau$ function $\
Carlet G., Chuanzhong Li, Jingsong He, Ke Wu, Milanov T., Toda M., Yi Cheng   +6 more
core   +1 more source

Approximation Results: Szász–Kantorovich Operators Enhanced by Frobenius–Euler–Type Polynomials

Axioms
This research focuses on the approximation properties of Kantorovich-type operators using Frobenius–Euler–Simsek polynomials. The test functions and central moments are calculated as part of this study.
Nadeem Rao, Mohammad Farid, Mohd Raiz
doaj   +1 more source

Generalized (τ, σ)-L-Derivations in Rings

Mathematics
Let τ and σ:X⟶X be automorphisms of an arbitrary associative ring X, and let L be a prime ideal of X. The main objective of this article is to combine the notions of generalized L-derivations and (τ,σ)-L-derivations by introducing and analyzing a novel ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-omary, Khaled Aldwoah, Amer Alsulami, Muntasir Suhail   +5 more
doaj   +1 more source

A Rigorous Analysis of Integro-Differential Operators with Non-Singular Kernels

Fractal and Fractional, 2023
Integro-differential operators with non-singular kernels have been much discussed among fractional calculus researchers. We present a mathematical study to clearly establish the rigorous foundations of this topic.
Arran Fernandez, Mohammed Al-Refai
doaj   +1 more source

Novel series representation of degenerate gamma function with formulation of new generalized kinetic equation

Mathematical and Computer Modelling of Dynamical Systems
The degenerate gamma function is a recently developed special function associated with the classical beta function. This study employs the complex delta function to investigate a novel series representation of the degenerate gamma function.
Asifa Tassaddiq, Rabab Alharbi, Ruhaila Md Kasmani, Kwara Nantomah   +3 more
doaj   +1 more source