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[PDF] Top 20 A table of derivatives on arbitrary time scales

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A table of derivatives on arbitrary time scales

A table of derivatives on arbitrary time scales

... collection of useful formulas of dynamic derivatives on time scales, systematically collected for reference ...functions on time scales in such a way the ... See full document

7

On consensus in the Cucker--Smale type model on isolated time scales

On consensus in the Cucker--Smale type model on isolated time scales

... importance of the graininess function in a consensus phenomenon. The advantage of using this result lies in the fact that in applications the graininess function can be interpreted as a frequency of ... See full document

14

Calculus of variations on time scales and applications to economics

Calculus of variations on time scales and applications to economics

... absence of a general chain rule on an ar- bitrary time scale causes this impossibility [20, ...problems of the calculus of variations with nabla derivatives and nabla integrals ... See full document

138

Existence and Nonexistence of Positive Periodic Solutions in Shifts Delta(+/-) for a Nicholson's Blowflies Model on Time Scales

Existence and Nonexistence of Positive Periodic Solutions in Shifts Delta(+/-) for a Nicholson's Blowflies Model on Time Scales

... A time scale is a nonempty arbitrary closed subset of ...theory of dynamic equations on time scales was firstly introduced by Hilger in his ...study of dynamic ... See full document

7

Calculus of variations on time scales and discrete fractional calculus

Calculus of variations on time scales and discrete fractional calculus

... One of the subjects that we are willing to study within the discrete fractional calculus is the existence of solutions to the Euler–Lagrange equation ...development of the theory of discrete ... See full document

116

Strong minimizers of the calculus of variations on time scales and the Weierstrass condition

Strong minimizers of the calculus of variations on time scales and the Weierstrass condition

... calculus of variations on time scales was introduced in 2004 with the papers of Bohner [6] and Hilscher and Zeidan ...problem of the calculus of variations on ... See full document

8

On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales

On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales

... A time scale T is an arbitrary nonempty closed subset of real numbers R with the subspace topology inherited from the standard topology of ...theory of time scales was ... See full document

14

Necessary condition for an Euler-Lagrange equation on time scales

Necessary condition for an Euler-Lagrange equation on time scales

... study of optimal control problems on arbitrary time scales is a subject under strong current research [6, ...case of the cal- culus of variations on time ... See full document

8

Diatom-based characterization of iberian coastal environments at different time scales

Diatom-based characterization of iberian coastal environments at different time scales

... forcing on the environmental features of the wetland at this time is not restricted to precipitation ...period of enhanced storminess over the North Atlantic coastlines (Dawson et ...episodes ... See full document

224

Diamond-α Jensen's inequality on time scales

Diamond-α Jensen's inequality on time scales

... applications of dynamic derivatives on time scales have recently received considerable ...purpose of this paper is to give basic properties of diamond-α derivatives ... See full document

13

Backward variational approach on time scales with an action depending on the free endpoints

Backward variational approach on time scales with an action depending on the free endpoints

... control on an arbitrary time scale is an area of strong current research that unifies discrete, continuous, and quantum results and generalize the theory to more complex domains [1 – ...culus ... See full document

10

A hukuhara approach to the study of hybrid fuzzy systems on time scales

A hukuhara approach to the study of hybrid fuzzy systems on time scales

... modeling of dynamic processes is often discussed in the literature via difference or differential ...spite of this tendency of in- dependence between discrete and continuous dynamic systems, there is ... See full document

16

Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales

Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales

... 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 subset of ...interested on the calculus ... See full document

6

Estimating the flood frequency distribution at seasonal and annual time scales

Estimating the flood frequency distribution at seasonal and annual time scales

... end of the season, respectively, and σ is the standard deviation in radiants given by σ = √ −2 ln (r) (Mar- dia, ...(AM) of daily streamflows of the Blue Nile at Sudan–Ethiopia Bor- ...measure ... See full document

10

Necessary optimality conditions for infinite horizon variational problems on time scales

Necessary optimality conditions for infinite horizon variational problems on time scales

... more on the time scale theory we refer the reader to [ 1 , 2 , 13 ...A time scale T is an arbitrary nonempty closed subset of ...are time scale intervals with respect to a given ... See full document

16

Existence and uniqueness results for a fractional Riemann-Liouville  nonlocal thermistor problem on arbitrary time scales

Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales

... theories of difference and differential equations into a single the- ory. A time scale is a model of time, and the theory has found important applications in several contexts that require ... See full document

5

Structural derivatives on time scales

Structural derivatives on time scales

... notion, on di¤erent time scales than the set of real numbers, appears naturally in complex coarse-graininess structures, for instance, in anomalous radiation absorption where a tumor tissue ... See full document

11

A conformable fractional calculus on arbitrary time scales

A conformable fractional calculus on arbitrary time scales

... one of the most intensively devel- oping areas of mathematical analysis ( Jahanshahi et ...definitions of fractional operators like Riemann–Liouville, Caputo, and ...hydraulics of dams, ... See full document

6

Kernel behaviors on time scales

Kernel behaviors on time scales

... A time scale T is an arbitrary nonempty closed subset of the set R of real ...b]∩T. On T are taken the usual jump operators, the forward jump operator σ : T→T such that σ(t) := inf{s ∈ ... See full document

6

ON LIAPUNOV-TYPE INTEGRAL INEQUALITIES FOR EVEN ORDER DYNAMIC EQUATIONS ON TIME SCALES

ON LIAPUNOV-TYPE INTEGRAL INEQUALITIES FOR EVEN ORDER DYNAMIC EQUATIONS ON TIME SCALES

... expounded on various aspects of this new theory; see the survey paper of Agarwal ...book on the subject of time scales by Bohner and Peterson ...A time scale T is ... See full document

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