On a class of p‐fractional Laplacian equations with potential depending on parameter
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6078
Abstract: We discuss the existence of solutions for a class of nonlinear equations driven by the fractional p‐Laplacian operator of the form (−Δ)psu+λsV(x,λ)|u|p−2u=f(x,u)inRN, where 0ps and λ is a positive parameter. By combining variational techniques with… read more here.
Keywords: class; equations potential; potential depending; class fractional ... See more keywords
Terminal observer and disturbance observer for the class of fractional-order chaotic systems
Sign Up to like & getrecommendations! Published in 2020 at "Soft Computing"
DOI: 10.1007/s00500-019-04418-0
Abstract: In this paper, a terminal fractional-order observer and a terminal disturbance observer is proposed to estimate internal states and external disturbances of the class of fractional-order chaotic systems. The estimation of states within fixed time… read more here.
Keywords: order; fractional order; class fractional; disturbance observer ... See more keywords
A Generalization of Ritz-Variational Method for Solving a Class of Fractional Optimization Problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-016-0912-3
Abstract: This paper presents an approximate method for solving a class of fractional optimization problems with multiple dependent variables with multi-order fractional derivatives and a group of boundary conditions. The fractional derivatives are in the Caputo… read more here.
Keywords: solving class; method solving; class fractional; method ... See more keywords
Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4042999
Abstract: The stabilization problem of fractional-order nonlinear systems for 0 read more here.
Keywords: stabilization; fractional order; class fractional; nonlinear systems ... See more keywords
The Synchronization of a Class Fractional-order Chaotic System by Using the Recovered State Variables and Backstepping Control
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4062568
Abstract: This paper investigates the synchronization problem of a class of fractional order chaotic systems with output variables. Based on the system output, the observer scheme is given to recover the state variables. By using the… read more here.
Keywords: class fractional; fractional order; order chaotic; state variables ... See more keywords
Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1219-8
Abstract: This paper considers the boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses. Some sufficient conditions of the existence and uniqueness are obtained by means of the… read more here.
Keywords: class fractional; value; value problem; problem class ... See more keywords
Observer-based sliding mode synchronization for a class of fractional-order chaotic neural networks
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1588-9
Abstract: Observer design for nonlinear systems is very important in state-based stabilization, fault detection, chaos synchronization and secret communication. This paper deals with synchronization problem of a class of fractional-order neural networks (FONNs) based on system… read more here.
Keywords: sliding mode; neural networks; fractional order; class fractional ... See more keywords
Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0427
Abstract: Abstract In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses. By the Krasnoselskii’s fixed point theorem, we present… read more here.
Keywords: existence; class fractional; existence hyers; hyers ulam ... See more keywords
Study of new class of q-fractional integral operator
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DOI: 10.2298/fil1917713m
Abstract: In this paper, we study on the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied tp f(t) in these integrals and a new… read more here.
Keywords: new class; class fractional; integral operator; operator ... See more keywords
Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations
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DOI: 10.3390/sym14112336
Abstract: Many techniques have been recently used by various researchers to solve some types of symmetrical fractional differential equations. In this article, we show the existence and uniqueness to the solution of ς-Caputo stochastic fractional differential… read more here.
Keywords: existence uniqueness; results class; differential equations; uniqueness results ... See more keywords