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Large Fractional Linear Type Differential Equations
International Journal of Analysis and Applications, 2023 This paper aims to handle some types of fractional differential equations with a fractional-order values β>1. In particular, we propose a novel analytical solution called an atomic solution for certain fractional linear type differential equations as ...
Ma'mon Abu Hammad +2 more
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Applications of the Tarig Transform and Hyers–Ulam Stability to Linear Differential Equations
Mathematics, 2023 In this manuscript, we discuss the Tarig transform for homogeneous and non-homogeneous linear differential equations. Using this Tarig integral transform, we resolve higher-order linear differential equations, and we produce the conditions required for ...
L. Chitra +5 more
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On a system of differential equations with random parameters
Современная математика: Фундаментальные направления, 2022 An explicit formula for the mathematical expectation and second moment functions of a solution to a linear system of ordinary differential equations with a random parameter and a vector random righthand side is obtained.
V. G. Zadorozhniy, G. S. Tikhomirov
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General solutions of second-order linear difference equations of Euler type [PDF]
Opuscula Mathematica, 2017 The purpose of this paper is to give general solutions of linear difference equations which are related to the Euler-Cauchy differential equation \(y^{\prime\prime}+(\lambda/t^2)y=0\) or more general linear differential equations.
Akane Hongyo, Naoto Yamaoka
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About Cogredient and Contragredient Linear Differential Equations
Axioms, 2021 The notions of cogredience and contragredience, which have great importance to the question of algebraic independence of linear differential equation solutions, are discussed in the paper.
Vasily Gorelov
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Least-Squares Solution of Linear Differential Equations
Mathematics, 2017 This study shows how to obtain least-squares solutions to initial value problems (IVPs), boundary value problems (BVPs), and multi-value problems (MVPs) for nonhomogeneous linear differential equations (DEs) with nonconstant coefficients of any order ...
Daniele Mortari
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On a linear system of differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
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MATEC Web of Conferences, 2017 This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
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On linear differential equations and systems with reflection [PDF]
Applied Mathematics and Computation, 2017 In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green's functions.
Alberto Cabada, F. Adrián F. Tojo
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Asymptotically Linear Solutions for Some Linear Fractional Differential Equations
Abstract and Applied Analysis, 2010 We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible as ct+d+o(1) for t→+∞, where D0tα designates the Riemann-Liouville ...
Dumitru Baleanu +2 more
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