[PDF] Top 20 Calculus of variations on time scales and applications to economics
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Calculus of variations on time scales and applications to economics
... devoted to the study of the calculus of variations on time scales and its applications to ...opportunities of applications ... See full document
138
Calculus of variations involving Caputo-Fabrizio fractional differentiation
... fractional calculus have various fields of applications, in this paper we are interested in the fractional calculus of variations which deals with optimization of ... See full document
10
Dynamic analysis and optimal control with applications to economics
... periods and the effect of financial infection between ...result of their research, they identified and found confirmation that the United States was the source of financial contagion ... See full document
170
A stochastic fractional calculus with applications to variational principles
... theory of the calculus of variations evolved in order to include fractional operators and better describe non-conservative systems in mechanics [ 5 ...reader to the ... See full document
10
A fractional calculus of variations for multiple integrals with application to vibrating string
... depend on functions of two or more variables arise in a natural way, ...degrees of freedom 共string, membranes, ...0 and x = L. Let us denote the transverse displacement of the particle ... See full document
12
A fractional calculus of variations for multiple integrals with application to vibrating string
... work of Riewe [38]. Riewe formulated the problem of the calculus of variations with fractional derivatives and obtained the respective Euler-Lagrange equations, combining both ... See full document
12
Diamond-α Jensen's inequality on time scales
... theory and applications of dynamic derivatives on time scales have recently received considerable ...purpose of this paper is to give basic properties of ... See full document
13
A hukuhara approach to the study of hybrid fuzzy systems on time scales
... study of stability of dynamical systems, Lyapunov functions play a central role in the proof of stability of equilibrium points on the state space ...requires to stabilize a ... See full document
16
First integrals for problems of calculus of variations on locally convex spaces
... problems of CV have very wide applications in several fields of mathematics, and in many areas of physics, economics, and ...part of the renewal of interest ... See full document
12
Kernel behaviors on time scales
... one of the central and basic questions is to character- ize the behaviors that are solution sets of systems of linear difference/differential equations with constant coefficients, in ... See full document
6
Structural derivatives on time scales
... natural to de…ne structural derivatives on time ...di¤erentiable on a general time scale without being di¤erentiable in the classical ...possibility, to di¤erentiate nonsmooth ... See full document
11
Computational methods in the fractional calculus of variations and optimal control
... end time, T , free and the dynamic control system ...integer and fractional order ...extended to problems with multiple states and multiple ...T and/or x(T ) ...only on ... See full document
193
Necessary condition for an Euler-Lagrange equation on time scales
... definitions and results of the delta calculus on time scales, which will be used throughout the ...condition of self-adjointness for an integrodifferential equa- tion ... See full document
8
On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales
... functions and en- compasses Newton, Riemann and Lebesgue ...Kurzweil and Henstock independently in 1957/58 [ 34 , 39 ...equivalent to the Denjoy-Perron integral. For fundamental results ... See full document
14
On consensus in the Cucker--Smale type model on isolated time scales
... tends to a consensus. This condition shows clearly the importance of the graininess function in a consensus ...advantage of using this result lies in the fact that in applications the ... See full document
14
Necessary optimality conditions for infinite horizon variational problems on time scales
... definitions and results of the nabla calculus on time scales, which are necessary in the ...state and prove the new results: we prove necessary optimality conditions ... See full document
16
Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
... definitions, and results, which are needed in the ...space of continuous functions y with the norm kyk 1 ¼ sup jyðtÞj : t 2 J f g, where J is an ...A time scale T is an arbitrary nonempty closed ... See full document
6
Fractional calculus of variations for double integrals
... The calculus of variations was born in 1697 with the solution to the brachistochrone problem (see, ...study of several natural phenomena in such areas as aerodynamics, economics, ... See full document
12
A formulation of Noether's theorem for fuzzy problems of the calculus of variations
... fuzzy calculus of variations extends the classical variational calculus by con- sidering fuzzy variables and their derivatives into the variational integrals to be ...problems ... See full document
13
Discrete Direct Methods in the Fractional Calculus of Variations
... (3) and (4) converges absolutely and uni- formly if x( ·) is ...property of fractional derivatives. The arbitrary order derivative of a function at a time t depends on all values ... See full document
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