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WebIn this paper, we investigate the exact and approximate controllability, finite time stability, and β–Hyers–Ulam–Rassias stability of a fractional order neutral impulsive differential system. The controllability criteria is incorporated with the help of a fixed point approach. The famous generalized Grönwall inequality is used to study the finite time stability and … e20 petrol thailand WebJul 27, 2024 · The fractional delay model is analysed using numerical and analytical techniques by many researchers. In [], the fractional order delay model was analysed … WebIn this paper, we discuss the dependence of the solutions on the parameters (order, initial function, right-hand function) of fractional neutral delay differential equations … e20 price thailand WebIt is well known that the appearance of the delay in the fractional delay differential equation (FDDE) makes the convergence analysis very difficult. Dealing with the problem with the traditional reproducing kernel method (RKM) is very tricky. WebFeb 27, 2024 · In this paper, we study the asymptotic behavior of solutions to a scalar fractional delay differential equations around the equilibrium points. More precise, we provide conditions on the coefficients under which a linear fractional delay equation is asymptotically stable and show that the asymptotic stability of the trivial solution is … e20 raptor coupling WebThis book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann–Liouville and Caputo fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions.
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WebIn the paper, we study the oscillatory and asymptotic properties of solutions to a class of third-order linear neutral delay differential equations with noncanonical operators. Via … WebApr 23, 2024 · There are several challenges facing the field of fraction delay different equations, including the stability analysis of the delay dependence of higher-order … class 12 ncert biology book pdf in bengali WebFirst, by using stochastic analysis, the analytic semigroup theory, fractional powers of closed operators, and suitable fixed point theorems, we prove an existence result of mild solutions for the control systems in the alpha-norm without the assumptions of compactness. Next, we derive the existence conditions of optimal pairs of these systems. WebWith the help of the topological degree theory in this manuscript, we develop qualitative theory for a class of multi-terms fractional order differential equations (FODEs) with proportional delay using the Caputo derivative. In the same line, we will also study various forms of Ulam stability results. To clarify our theocratical analysis, we provide three … e20 pty ltd WebSep 1, 2024 · This paper discusses some properties of solutions to fractional neutral delay differential equations. By combining a new weighted norm, the Banach fixed point … WebApr 1, 2024 · Be means of the Laplace transform the solution of some delay fractional neutral differential equations are derived in terms of three-parameter Mittag-Leffler … class 12 ncert biology book pdf download WebDec 3, 2024 · In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the …
WebFirst, by using stochastic analysis, the analytic semigroup theory, fractional powers of closed operators, and suitable fixed point theorems, we prove an existence result of mild … WebMar 15, 2024 · The existence condition for the solution of this problem is studied using Darbo Sadovskii’s fixed point theorem with Hausdorff’s measure of … class 12 ncert biology chapters WebJun 20, 2024 · This paper explores an abstract Riemann-Liouville fractional evolution model with a weighted delay initial condition. We develop the resolvent technique, a generalization of semigroup method, to formulate an appropriate notion of mild solutions to this abstract system and present the topological characteristics of the corresponding solution set in a … WebOct 25, 2024 · Existence and stability analysis of solution for fractional delay differential equations. In this article, we give some results for fractional-order delay differential … class 12 ncert biology pdf in hindi WebDec 3, 2024 · In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group classification of the equation is established. WebFeb 28, 2024 · Motivated by the above discussions, in this paper we aim to study the existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delays. In the established model, the stochastic disturbances are described in terms of a Brownian motion. class 12 ncert biology book WebMar 27, 2024 · Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations March 2024 DOI: 10.1016/j.aej.2024.03.004
WebFeb 23, 2024 · Note: Similar methodology can be used for the higher order neutral delay differential equation and the system of higher order neutral delay differential equations. Steps of solving NDDEs using an ... e20 plus price in india WebApr 1, 2024 · The studied equation represents a basic test equation for numerical analysis of delay differential equations of fractional type. Therefore, the knowledge of optimal stability conditions is crucial, among others, for numerical stability investigations of … class 12 ncert