Fractional stability
WebFeb 15, 2024 · So, the motivation for the elaboration of this paper is the investigation of some kinds of the Ulam–Hyers stability for the following problem involving the concept of Caputo–Katugampola fractional derivative with the case of the : where is a real parameter, is a nonlinear continuous function, and is the Caputo–Katugampola fractional ... Web2 days ago · The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal ...
Fractional stability
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WebApr 12, 2024 · This paper focuses on a 2D magnetohydrodynamic system with fractional horizontal dissipation in the domain \(\Omega = \mathbb T\times \mathbb R\) with … WebDec 9, 2024 · This study aims to use the fractional Fourier transform for analyzing various types of Hyers–Ulam stability pertaining to the linear fractional order differential equation with Atangana and Baleanu fractional derivative. Specifically, we establish the Hyers–Ulam–Rassias stability results and examine their existence and uniqueness for …
WebApr 12, 2024 · This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–Doob stochastic differential equations (FIDSDE) with order ϰ ∈ (0,1) $$ … WebMar 7, 2014 · The analysis on stability of fractional-order differential equations is more complex than that of classical differential equations, since fractional derivatives are …
WebNov 9, 2024 · Intra-fractional variations in rectal gas are small compared to the absolute volume of rectal gas detected for all patient groups. That is, rectal gas is likely to remain … WebMay 9, 2024 · This paper explores the finite time stability of Caputo–Katugampola fractional order projection neural network with time delay. By employing the Sadovskii fixed point theorem, the Banach fixed point theorem and the generalized Gronwall inequality, we establish the existence and boundedness theorems of solutions for …
WebFeb 1, 2024 · Motivated by the discussions above, derived from the fractional telegraph equation [21] C D 0 α + 1 u (t) + C D 0 α u (t) + A u (t) = 0, where C D 0 α + 1 and C D 0 α are the Caputo’s fractional derivative of order α + 1 and α, respectively, A is a positive self-adjoint operator on a Hilbert space H, we are mainly concerned with the ...
WebAbstract. In these lectures we introduce the linear operators of fractional integration and fractional differentiation in the framework of the Riemann-Liouville fractional calculus. Particular attention is devoted to the technique of Laplace transforms for treating these operators in a way accessible to applied scientists, avoiding unproductive ... reservation for locals in private sectorWebApr 10, 2024 · This brief paper investigates the stability and L∞-gain of positive fractional-order singular systems (FOSSs) with time-varying delays. Based on the Drazin inverse of … prostate infection symptoms and treatmentWebFeb 15, 2024 · This work presents the results of the global existence for fractional differential equations involving generalized Caputo derivative with the case of the … reservation for women in panchayati rajWebApr 12, 2024 · This paper focuses on a 2D magnetohydrodynamic system with fractional horizontal dissipation in the domain \(\Omega = \mathbb T\times \mathbb R\) with \(\mathbb T=[0,1]\) being a periodic box. The goal here is to understand the stability problem on perturbations near any fixed magnetic field \(A=(A_1, A_2)\), where \(A_1, A_2 \in … reservation for moderna boosterWebAug 1, 2024 · The stability of the stationary state is studied using fractional stability theory and the obtained results exhibit the powerful dependance of this stability on the … reservation for women in lok sabhaWebJul 15, 2024 · In this paper, we investigate the generalized fractional system (GFS) with order lying in ( 1 , 2 ) $(1, 2)$ . We present stability analysis of GFS by two methods. First, the stability analysis of that system using the Gronwall–Bellman (G–B) Lemma, the Mittag–Leffler (M–L) function, and the Laplace transform is introduced. Secondly, by the … réservation french beeWebFeb 1, 2024 · This paper aims to study the stability of the fractional differential equations without inputs. The fractional differential equations without inputs considered in this paper are defined with the ... reservation for new notes 2023