Results 1 to 10 of about 6,085 (261)
A functional calculus for a matrix perturbation of ddx
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maxim J Goldberg
exaly +4 more sources
Some Results of R-Matrix Functions and Their Fractional Calculus
In this study, we explore various fractional integral properties of R-matrix functions using the Hilfer fractional derivative operator within the framework of fractional calculus.
Mohra Zayed, Ahmed Bakhet
doaj +3 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Philippe Biane
exaly +4 more sources
General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints
An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties.
Francesco Aldo Costabile +2 more
doaj +2 more sources
Universality property of the S-functional calculus, noncommuting matrix variables and Clifford operators [PDF]
The spectral theory on the $S$-spectrum was born out of the need to give quaternionic quantum mechanics (formulated by Birkhoff and von Neumann) a precise mathematical foundation. Then it turned out that this theory has important applications in several fields such as fractional diffusion problems and, moreover, it allows one to define several ...
Colombo F. +3 more
core +7 more sources
A non-holomorphic functional calculus and the complex conjugate of a matrix
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olavi Nevanlinna
exaly +3 more sources
Nonpotentiality of a diffusion system and the construction of a semi-bounded functional [PDF]
The wide prevalence and the systematic variational principles are used in mathematics and applications due to a series of remarkable consequences among which the possibility to establish the existence of the solutions of the initial equations ...
V.M. Savchin, L.T. Huyen
doaj +3 more sources
An Operational Matrix Method Based on the Gegenbauer Polynomials for Solving a Class of Fractional Optimal Control Problems [PDF]
One of the most important classes of fractional calculus is the fractional optimal control problem (FOCP), which arises in engineering. This study presents a direct and efficient numerical method for solving a class of (FOCPs) in which the fractional ...
Farzaneh Soufivand +2 more
doaj +1 more source
Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal +3 more
doaj +1 more source
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
doaj +1 more source

