Discrete fractional calculus
Calculus of variations on time scales and discrete fractional calculus
... the discrete fractional calculus theory we proved some properties for the fractional sum and difference operators in Section ...continuous fractional one. This indicates that the ...
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Calculus of variations involving Caputo-Fabrizio fractional differentiation
... Although fractional calculus have various fields of applications, in this paper we are interested in the fractional calculus of variations which deals with optimization of functionals that ...
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Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
... the discrete fractional calculus [2, ...Lyapunov fractional inequalities can also be obtained by considering a discrete fractional difference in ...following discrete ...
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Symmetric quantum calculus
... Four years ago I started the Ph.D. Doctoral Programme in Mathematics and Applications offered jointly by University of Aveiro and University of Minho. In the first year we, students, had several one-semester courses in ...
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Łukasiewicz mu-Calculus
... As our first contribution, we show that the standard probabilistic temporal logic PCTL [2] can be encoded in Ł µ . A similar translation was originally given in the first author’s PhD thesis [19], where PCTL was ...
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General quantum variational calculus
... Abstract We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational ...
20
Continuation calculus
... In the present paper, we have not yet exploited types. In the future, we will develop a typed version of continuation calculus, which also guarantees the termination of well-typed terms. Another way to look at ...
20
Fractional Discrete-Time Signal Processing: Scale Conversion and Linear Prediction1
... are not restricted to d=0.5. Consider that d assumes 3 values, d=0.25, d=0.5, d=0.75, and keep the predictor of order 4. We insert 3 values between each set of two original values. The results obtained are displayed in ...
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A fractional calculus of variations for multiple integrals with application to vibrating string
... the calculus of variations with fractional derivatives and obtained the respective Euler-Lagrange equations, combining both conservative and nonconservative ...for fractional derivatives and ...
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A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
... a certain fractional calculus operator. The class has interesting subclasses like β-uniformly starlike, β- uniformly convex and β-uniformly pre-starlike func- tions. Properties like coefficient estimates, ...
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Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
... Fractional calculus is a mathematical approach dealing with integral and differential terms of non-integer ...of fractional calculus appeared shortly after calculus itself, but the ...
20
Calculus
... the limit of total distance over many short times the integral of v. With constant velocity, f equals vt. One part of our goal is to extend that list-for which we need the too[r] ...
671
A Graph Calculus for Predicate Logic
... graph calculus for classical first-order predicate ...complete calculus reduces logical consequence to establishing that a constructed graph is null, ...Our calculus uses formulas directly and can ...
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Some applications of propositional calculus
... Por outro lado, como veremos mais adiante, dado um natural n, por meio do Teorema da Completude do C´alculo Proposicional, demonstra-se facilmente que se todos os mapas finitos podem ser[r] ...
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Discrete-Event Simulation
... One basic question that needs to be aptly answered is what statistics should be generated when constructing a discrete- event simulation . From a job‘s (customer‘s) perspective the most important statistic might ...
5
The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
... Most concurrent programs include large pieces of sequential code. While the efficient compilation schemes for sequential (functional) languages are certainly not based on the pi-calculus, the sequential code of ...
37
Tom Apostol Calculus Vol.2 Multi Variable Calculus and Linear Algebra with Applications
... The history of differential equations began in the 17th century when Newton, Leibniz, and the Bernoullis solved some simple differential equations of the first and second order arising from problems in geometry and ...
696
Hahn's symmetric quantum variational calculus
... Abstract. We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler–Lagrange type and a ...
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An infinite dimensional umbral calculus
... The aim of this paper is to develop foundations of umbral calculus on the space D 0 of distri- butions on R d , which leads to a general theory of Sheffer polynomial sequences on D 0 . We define a sequence of ...
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A Fractional Linear System View of the Fractional Brownian Motion
... Fractional Brownian motion (fBm), 1/f noises, self-similaririty and long range dependence are inter- connected notions and appear in a variety of contexts [1–3]. The starting point was the introduction of the fBm ...
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