Results 81 to 90 of about 2,853,127 (211)

Extension of Operational Matrix Technique for the Solution of Nonlinear System of Caputo Fractional Differential Equations Subjected to Integral Type Boundary Constrains. [PDF]

Entropy (Basel), 2021
Khalil H, Khalil M, Hashim I, Agarwal P.
europepmc   +1 more source

An Efficient Numerical Scheme for Solving Multiorder Tempered Fractional Differential Equations via Operational Matrix

, 2022
In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is ...
Abiodun Ezekiel Owoyemi, Chang Phang, Yoke Teng Toh   +2 more
core   +1 more source

Matrix Meta-Operational Mathematics: From Iteration of Matrix Operations to Matrix Meta-Operations

This paper develops Matrix Meta-Operational Mathematics, a systematic and exhaustive framework that elevates matrix-valued operations themselves to the status of independent mathematical objects, thereby extending the scalar meta-operational framework to the non-commutative matrix algebraic setting with full mathematical rigor and unprecedented detail.
openaire   +1 more source

Matrix Regular Operator Spaces

Journal of Functional Analysis, 1998
A norm on an ordered real Banach space \(E\) is called regular (or Riesz norm) if \(-x\leq y\leq x\) implies \(\| y\|\leq\| x\|\), and \(\| y\|< 1\) implies the existence of \(x\in E\) with \(\| x\|< 1\) and \(-x\leq y\leq x\). This concept is generalized to matrix ordered complex operator spaces [as introduced by \textit{M.-D. Choi} and \textit{E.
openaire   +1 more source

Sinc-Fractional Operator on Shannon Wavelet Space

Frontiers in Physics, 2018
In this paper the sinc-fractional derivative is extended to the Hilbert space based on Shannon wavelets. Some new fractional operators based on wavelets are defined.
Carlo Cattani
doaj   +1 more source

Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation [PDF]

, 2014
A Legendre wavelet operational matrix method (LWM) is presented for the solution of nonlinear fractional-order Riccati differential equations, having variety of applications in quantum chemistry and quantum mechanics.
S. Balaji
core   +1 more source

On Absolute Nörlund Spaces and Matrix Operators

Acta Mathematica Sinica, English Series, 2017
An absolute Nörlund space \(|N_p^{\theta}|_k\) is introduced as an extension of absolute Cesàro space \(|C_\alpha|_k\). For \(k\geq 1\) the space \(|N_p^{\theta}|_k\) is defined as: \[ |N_p^{\theta}|_k = \Big\{a=(a_\upsilon): \displaystyle\sum_{n=1}^{\infty}\theta_n^{k-1}\Big|\sum_{\upsilon=1}^{n}\Big(\frac{P_{n-\upsilon}}{P_n}-\frac{P_{n-1-\upsilon ...
Hazar, Güllü Canan, Sarıgöl, Mehmet Ali   +1 more
openaire   +5 more sources

A new operational matrix method to solve nonlinear fractional differential equations

Nonlinear Engineering
This study aims to propose novel Zernike wavelets and a new method based on the operational matrices for solving nonlinear fractional differential equations. First, non-orthogonal Zernike wavelets are introduced using the Zernike polynomials. Then, a new
Hedayati Maryamsadat, Ezzati Reza
doaj   +1 more source

On the Differential Operators with Periodic Matrix Coefficients [PDF]

Abstract and Applied Analysis, 2009
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions.
openaire   +5 more sources

Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions

پژوهش‌های ریاضی, 2019
Introduction A system of integral equations can describe different kind of problems in sciences and engineering. There are many different methods for numerical solution of linear and nonlinear system of integral equations. Material and methods This paper
Elnaz Babaei, Elham Hashemizadeh
doaj