Results 181 to 190 of about 1,369,996 (356)

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives [PDF]

, 2017
Pedro R. S. Antunes, Rui A. C. Ferreira
openalex   +1 more source

A Novel Fractional‐Order Predictive PI Controller Approach for the Systems With Noninteger Order Delay

Optimal Control Applications and Methods, EarlyView.
Hybrid Algorithm‐Based Optimal FOPI Controller in Three‐phase UPQC system ABSTRACT Time delay (TD) is a common phenomenon in practical systems. Most studies have focused on the classical notion of integer‐order TD. However, it should not be neglected that the delay can also be noninteger.
Erdinç Şahin
wiley   +1 more source

Waveform relaxation methods for fractional differential equations with the Caputo derivatives

, 2012
Yao‐Lin Jiang, Xiaoli Ding
openalex   +1 more source

On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative [PDF]

, 2017
Ravi P. Agarwal, Ahmed Alsaedi, Alaa Alsharif, Bashir Ahmad   +3 more
openalex   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, EarlyView.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

On Some Inequalities Involving Liouville–Caputo Fractional Derivatives and Applications to Special Means of Real Numbers [PDF]

, 2018
Bessem Samet, Hassen Aydi
openalex   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Operator theoretic approach to the Caputo derivative and the fractional diffusion equations

, 2014
Rudolf Gorenflo, Yuri Luchko, Masahiro Yamamoto   +2 more
openalex   +2 more sources

Existence and uniqueness of solutions for a nonlinear fractional initial value problem involving Caputo derivatives [PDF]

, 2018
J. Appell, Bel Én L Ópez, Kishin Sadarangani   +2 more
openalex   +1 more source