Existence of fuzzy fractional stochastic differential system with impulses
Sign Up to like & getrecommendations! Published in 2020 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-020-01229-0
Abstract: Stochastic differential equations represent equipment in modeling of a dynamic systems operating with fuzzy settings driven by stochastic noise. In this manuscript, a new kind of equation, namely fuzzy fractional stochastic differential system (FSDS) is… read more here.
Keywords: fuzzy fractional; fractional stochastic; differential system; stochastic differential ... See more keywords
Approximate Solution for a Fuzzy Fractional Multi-term Differential Equation by Müntz Polynomials
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-021-00988-6
Abstract: In this study, we present a new approach for the numerical solution of a fuzzy fractional multi term differential equation under the Caputo fractional derivative which orders in [0, 1]. To do this, collocation method based… read more here.
Keywords: fuzzy fractional; differential equation; solution fuzzy; term differential ... See more keywords
Robust Fuzzy-Fractional-Order Nonsingular Terminal Sliding-Mode Control of LCL-Type Grid-Connected Converters
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Industrial Electronics"
DOI: 10.1109/tie.2021.3094411
Abstract: Sliding-mode control (SMC) has been widely used in grid-connected converter system (GCC) systems because of its robustness to parameter variations and external disturbances. However, chattering in SMC may deteriorate the tracking accuracy and can easily… read more here.
Keywords: grid connected; order; fuzzy fractional; mode control ... See more keywords
Nonlinear Contour Tracking of a Voice Coil Motors-Driven Dual-Axis Positioning Stage Using Fuzzy Fractional PID Control with Variable Orders
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/6697942
Abstract: This study aims to develop a variable-order fuzzy fractional proportional-integral-differential (VOFFPID) control system for controlling the mover position of a newly designed voice coil motors- (VCMs-) driven dual-axis positioning stage. First, the operation principle and… read more here.
Keywords: system; control; fuzzy fractional; stage ... See more keywords
Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense
Sign Up to like & getrecommendations! Published in 2023 at "Advances in Mathematical Physics"
DOI: 10.1155/2023/4009056
Abstract: In this article, the dynamics of the fuzzy fractional order enzyme Michaelis Menten model are investigated. To study problems with uncertainty, fuzzy fractional technique is applied. Using fuzzy theory, the sequential iterations of the model… read more here.
Keywords: fuzzy differential; differential equation; fractional derivative; analysis fuzzy ... See more keywords
Results on initial value problems for random fuzzy fractional functional differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1807601v
Abstract: In this paper random fuzzy fractional functional differential equations (RFFFDEs) with Caputo generalized Hukuhara differentiability are introduced. We present existence and uniqueness results for RFFFDEs using the idea of successive approximations. The behaviour of solutions… read more here.
Keywords: random fuzzy; initial value; differential equations; fractional functional ... See more keywords
Approximate Analytic-Numeric Fuzzy Solutions of Fuzzy Fractional Equations Using a Residual Power Series Approach
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14040804
Abstract: In this article, we consider a reliable analytical and numerical approach to create fuzzy approximated solutions for differential equations of fractional order with appropriate uncertain initial data by the means of a residual error function.… read more here.
Keywords: approximate analytic; series; fractional series; fuzzy fractional ... See more keywords