Results 71 to 80 of about 37,785 (206)

Caputo gH-differentiability for Gronwalls inequality: insight, new results and application

Journal of Inequalities and Applications
This paper investigates Gronwall’s inequality within the framework of interval-valued functions under Caputo gH-differentiability. Employing interval-valued Caputo fractional derivatives and associated interval-valued Riemann–Liouville integrals, we ...
Fatima Khan, Anum Zehra, Muhammad Farman, Kottakkaran Sooppy Nisar, Aceng Sambas, Mohamed Hafez   +5 more
doaj   +1 more source

Stability of Caputa– Hadmmard  Fractional Differential Nonlinear ControlSystem with Delay Riemann −Katugampola

Wasit Journal for Pure Sciences
This research examines the finite-time stability of a specific category of neural networks with fractional order. Using modified Gronwall inequality and estimations of Mittag–Leffler functions, we provide adequate requirements to guarantee the finite ...
ahmed sami, Sameer Qasim Hasan
doaj   +1 more source

Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative

Mathematics, 2019
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential equation is established using the Laplace transform method.
Kui Liu, Michal Fečkan, D. O’Regan, JinRong Wang   +3 more
doaj   +1 more source

Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications

Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2022
. In this paper, we derive some generalizations of certain Gronwall-Bihari type inequality for generalized fractional operators uni- fying Riemann-Liouville and Hadamard fractional operators for functions in one variable, which provide explicit bounds on
Amira Ayari, K. Boukerrioua
semanticscholar   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

Existence Results for a Coupled System of Nonlinear Fractional Differential Equations in Banach Spaces

Journal of Applied Mathematics, 2014
We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces.
Yuping Cao, Chuanzhi Bai
doaj   +1 more source

Significant findings for existence and controllability results of a class of nonlinear μ-Hilfer fractional evolution equations with time-varying delays [PDF]

AIP Advances
In this research work, our primary focus is on exploring the existence and controllability aspects of a particular class of fractional evolution equations that incorporate time-varying delays.
Zhanguang Li, Hongjun Qiu, Jing Zou
doaj   +1 more source

Solving the Fractional Schrödinger Equation with Singular Initial Data in the Extended Colombeau Algebra of Generalized Functions

International Journal of Differential Equations, 2023
This manuscript aims to highlight the existence and uniqueness results for the following Schrödinger problem in the extended Colombeau algebra of generalized functions. 1/ı∂/∂tut,x−△ut,x+vxut,x=0,t∈R+,x∈Rn,vx=δx,u0,x=δx, where δ is the Dirac distribution.
Ali El Mfadel, Said Melliani, Abdellah Taqbibt, M’hamed Elomari   +3 more
doaj   +1 more source

A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise

, 2017
This paper is concerned with the stochastic generalized Ginzburg-Landau equation driven by a multiplicative noise of jump type. By a prior estimate, weak convergence and monotonicity technique, we prove the existence and uniqueness of the solution of an ...
Gao, Hongjun, Lin, Lin
core   +1 more source