Fractional Differential Equations and Inclusions

Abbas, Saı̈d; Benchohra, Mouffak; Lazreg, Jamal Eddine; Nieto, Juan J.; Zhou, Yong

doi:10.1142/12993

Cited by 33 publications

(17 citation statements)

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“…Discrete fractional calculus, discrete fractional equations and discrete Volterra equations have received much attention recently, as well (cf. the monographs [3] by S. Abbas et al, [5] by M. H. Annaby, Z. S. Mansour, [14] by R. A. C. Ferreira, [17] by C. Goodrich, A. C. Peterson and the research articles [1,2,4,6,7,8,10,12], [13,16,18,19,20,33,35,36] for some recent results obtained in this direction). Discrete fractional calculus is incredibly important in modeling of various real phenomena appearing in the theories of neural networks, complex dynamic systems, frequency response analysis, image processing and interval-valued systems, e.g..…”

Section: Introductionmentioning

confidence: 96%

The role of stewards at sports events in the Republic of Serbia

Janković¹

2020

Zb Pravnog fak Novi Sad

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The traditional view that only the police are responsible for security at sports events has largely been abandoned in the sense that stewards have more important place. This is also recognized in the Serbian legislation, in the standards of the Law on Private Security (LPS), the Law on the Prevention of Violence and Misconduct at Sports Events (LPVMSE), the Law on Public Assembly, and the international regulations of sports federations. The Council of Europe Convention on an Integrated Safety, Security and Service Approach at Football Matches and Other Sports Events - No. 218. (CETS 218), together with the Recommendation REC (2015) 1, and its annexes, which supersedes all previous recommendations, resolutions and statements, has also contributed to defining the role of stewards. Recommendation has become an integral part of the Convention (CETS 218). Common to all the aforementioned regulations is that the stewarding operations can be handled by persons who have completed special training. Unlike international regulations that provide extensive training for stewards, the existing programs in Serbia envisage very few hours of training. The work of stewards would certainly be aided by the improvement of certain legal regulations governing this area. The Republic of Serbia is not yet a signatory to the Convention (CETS 218), and it is necessary for the authorities to accede to its signing and ratification in order for Serbia to adopt the newly established European standards in this field as soon as possible.

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Section: Introductionmentioning

confidence: 96%

The role of stewards at sports events in the Republic of Serbia

Janković¹

2020

Zb Pravnog fak Novi Sad

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“…Many physical and chemical processes are described by fractional differential equations [1][2][3]. Problems in viscoelasticity, dynamic processes in self-similar structures, system control theory, electrochemistry, and diffusion processes leading to fractional-order differential equations are considered in [4][5][6][7][8]. Fractional time derivatives are used to model diffusion wave or dispersion, a phenomenon observed in many problems.…”

Section: Introductionmentioning

confidence: 99%

“…Some simple nonlinear fractional equations are considered. Some of them are easily solved, but others present some new difficulties and problems [8]. The reconstruction of a space-dependent source term in a multi-dimensional time fractional diffusion-wave equation have been studied in [19,20].…”

Section: Introductionmentioning

confidence: 99%

Inverse coefficient problem for a time‐fractional wave equation with initial‐boundary and integral type overdetermination conditions

Durdiev,

Turdiev

2023

Math Methods in App Sciences

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This paper considers the inverse problem of determining the time‐dependent coefficient in the time‐fractional diffusion‐wave equation. In this case, an initial boundary value problem was set for the fractional diffusion‐wave equation, and an additional condition was given for the inverse problem of determining the coefficient from this equation. First of all, it was considered the initial boundary value problem. By the Fourier method, this problem is reduced to equivalent integral equations. Then, using the Mittag‐Leffler function and the generalized singular Gronwall inequality, we get a priori estimate for solution via unknown coefficient which we will need to study of the inverse problem. The inverse problem is reduced to the equivalent integral of equation of Volterra type. The principle of contracted mapping is used to solve this equation. Local existence and global uniqueness results are proved. The stability estimate is also obtained.

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“…In the recent past, there have been many studies that have used fractional derivatives in the fields of control engineering and mathematical and biological modelling. A few noteworthy applications of fractional calculus are discussed in [1][2][3][4]. Moreover, the investigation of impulsive effects on fractional system dynamics has gained a lot of attention in recent decades.…”

Section: Introductionmentioning

confidence: 99%

Finite-Interval Stability Analysis of Impulsive Fractional-Delay Dynamical System

2023

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Stability analysis over a finite time interval is a well-formulated technique to study the dynamical behaviour of a system. This article provides a novel analysis on the finite-time stability of a fractional-order system using the approach of the delayed-type matrix Mittag-Leffler function. At first, we discuss the solution’s existence and uniqueness for our considered fractional model. Then standard form of integral inequality of Gronwall’s type is used along with the application of the delayed Mittag-Leffler argument to derive the sufficient bounds for the stability of the dynamical system. The analysis of the system is extended and studied with impulsive perturbations. Further, we illustrate the numerical simulations of our analytical study using relevant examples.

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Fractional Differential Equations and Inclusions

Cited by 33 publications

References 0 publications

The role of stewards at sports events in the Republic of Serbia

The role of stewards at sports events in the Republic of Serbia

Inverse coefficient problem for a time‐fractional wave equation with initial‐boundary and integral type overdetermination conditions

Finite-Interval Stability Analysis of Impulsive Fractional-Delay Dynamical System

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