Calculus on time scales
Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
... functions on a general complete metric space. Roughly speaking, the calculus on time scales begins by introducing and investigating the concept of deriva- tive for functions f : T ! ...
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Necessary condition for an Euler-Lagrange equation on time scales
... delta calculus on time scales, which will be used throughout the ...the calculus of variations on an arbitrary time scale (Theorem ...equation on time ...
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Necessary optimality conditions for infinite horizon variational problems on time scales
... The paper is organized as follows. In Section 2 we collect the necessary definitions and results of the nabla calculus on time scales, which are necessary in the sequel. In Section 3 we state ...
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Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
... The calculus of variations on time scales was introduced in 2004 with the papers of Bohner [6] and Hilscher and Zeidan ...the calculus of variations on time scales ...
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A conformable fractional calculus on arbitrary time scales
... the time-scale derivative. A time scale T is an arbitrary nonempty closed subset of ...of time. The calculus on time scales was initiated by Aulbach and Hilger (1990) , in ...
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Kernel behaviors on time scales
... analysis on kernel behaviors from the perspective of the theory of time ...scales. Calculus on time scales, developed by (Hilger, 1988), unifies differential calcu- lus ...
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Almost Periodic Solution for a Lotka-Volterra Recurrent Neural Networks with Harvesting Terms on Time Scales
... of calculus on time scales (see [17] and references cited therein) was initiated by Stefan Hilger in his ...that on time scales which can unify the continuous and discrete ...
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Symmetric quantum calculus
... symmetric calculus on time ...of time scales which is a theory that was created in order to unify and to extend discrete and continuous analysis into a single ...A time scale is ...
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A table of derivatives on arbitrary time scales
... The calculus on time scales is a unification of the theory of difference equa- tions with that of differential equations, unifying integral and differential calculus with the ...
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Existence and Nonexistence of Positive Periodic Solutions in Shifts Delta(+/-) for a Nicholson's Blowflies Model on Time Scales
... with time delays on time scales. Based on the theory of calculus on time scales, sufficient conditions for the existence and nonexistence of positive ...
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A hukuhara approach to the study of hybrid fuzzy systems on time scales
... systems on time scales. Our method is more general, being based on the use of the delta-Hukuhara derivative, which has recently been defined for fuzzy valued functions ...this calculus ...
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Backward variational approach on time scales with an action depending on the free endpoints
... depending on the free ...of time scales via the backward nabla differential ...words: Calculus of Variations; Transversality Conditions; Time Scales; Backward ...
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Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities on time scales via a parameter function
... discrete calculus in a consistent manner, Hilger introduced in 1988 the theory of time scales [ 8 , 11 ...this calculus, many researchers have been able to extend known classical integral ...
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Oscillation Theorems of Fourth Order Nonlinear Dynamic Equations on Time Scales
... of time scales which has recently received a lot of attention was introduced by Stefan Hilger in his ...expounded on various aspects of this new theory and for more details about the theory of ...
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Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales
... A time scale is a model of time, and the theory has found important applications in several contexts that require simultane- ous modeling of discrete and continuous ...the calculus of variations, ...
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Calculus of variations on time scales and applications to economics
... the calculus of variations on time scales and its applications to ...the calculus of variations on time ...first time I met this subject and I found it interesting ...
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Structural derivatives on time scales
... …rst time, the notion of structural derivative on time ...developed calculus allows to unify and extend several decay models found in the ...derivatives on time scales, ...
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Calculus of variations on time scales and discrete fractional calculus
... fractional calculus theory we proved some properties for the fractional sum and difference operators in Section ...fractional calculus is the existence of solutions to the Euler–Lagrange equation ...
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Network Events on Multiple Space and Time Scales in Cultured Neural Networks and in a Stochastic Rate Model.
... of scales in space and ...acteristic time of the fatigue process, from the observed time course of the network’s firing ...multiple time scales, signalling the possible coexistence of ...
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Continuation calculus
... continuation calculus as an untyped ...Continuation calculus looks a bit like term rewriting and a bit like λ -calculus, and it has ideas from ...
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