Fractional Optimal Economic Control Problem Described by the Generalized Fractional Order Derivative

Thiao, Abdou; Sene, Ndolane

doi:10.1007/978-3-030-39112-6_3

Cited by 6 publications

(2 citation statements)

References 28 publications

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“…Fractional calculus contributes to many important aspects such as science, engineering and physical applications. We mention some of its applications with fractional optimal control problems (FOCPs) that are subject to dynamic constraints with the objective function problems, in, bioscience [2], economic [3], and so on .…”

Section: Introductionmentioning

confidence: 99%

Stabilization of Multi Fractional order Differential Equation with Delay time and Feedback Control

Raheam A. Al-Saphoy,

Sameer Q. Hassan

2023

wjps

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In this paper, a new study is dealt and presented the nonlinear control system consists of nonlinear differential equations of fractional orders with a mixture of ordinary derivatives of the first and second order that are unstable before feedback gain, we will study this nonlinear control system after feedback gain and prove the local asymptotically stable of the system by using a set of conditions that illustrated the stability of these systems, the work was reinforced with application examples that were programmed to reach illustrations that show the stability of the systems offered with high efficiency and accuracy.

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Section: Introductionmentioning

confidence: 99%

Stabilization of Multi Fractional order Differential Equation with Delay time and Feedback Control

Raheam A. Al-Saphoy,

Sameer Q. Hassan

2023

wjps

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“…Others, like Koonin and Cetron, asserted that case isolation, household quarantine, and internal travel restrictions are also necessary for virus control [ 19 ]. Therefore, many mathematical properties of real world problems including fractional or integer order have been introduced to better understanding of deeper properties and to analyze by many researchers [ 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 ].…”

Section: Introductionmentioning

confidence: 99%

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Gao

Veeresha

Prakasha

et al. 2020

Biology

135

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In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition and natural transform methods, numerical results were obtained to better understand the dynamical structures of the physical behavior of 2019-nCoV. Such behaviors observe the general properties of the mathematical model of 2019-nCoV. This mathematical model is composed of data reported from the city of Wuhan, China.

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Taylor’s series expansion method for nonlinear variable-order fractional 2D optimal control problems

Heydari

Avazzadeh

Cattani

2020

Alexandria Engineering Journal

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Fractional Optimal Economic Control Problem Described by the Generalized Fractional Order Derivative

Cited by 6 publications

References 28 publications

Stabilization of Multi Fractional order Differential Equation with Delay time and Feedback Control

Stabilization of Multi Fractional order Differential Equation with Delay time and Feedback Control

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Taylor’s series expansion method for nonlinear variable-order fractional 2D optimal control problems

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