a novel and eective method based on haar wavelets and block pulse functions(bpfs) is proposed to solve nonlinear fredholm integro-dierential equations of fractional order.the operational matrix of haar wavelets via bpfs is derived and together with haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. our new m...

In this research work, time-delay adaptive synchronization and anti-synchronization of chaotic fractional order systems are analyzed via the Caputo derivative, prob-lem variable is solved by using PID control law, laws variable-order frac-tional calculus, a law deduced from Lyapunov’s theory extended to calculus. two important problems in area: The first problem described which deals with syn-c...

Abstract. In this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar functions are presented. In addition, the operational matrix of the fractional integration is obtained and is utilized to convert compu...

Nep tu nian dykes were re cently re corded within the Mid dle Mio cene (Up per Badenian and Lower Sarmatian) Medobory reef com plex of the Carpathian Fore land in west ern Ukraine. The Up per Badenian reefs are cut by a reg u lar, semi-per pen dic u lar net work of in ter sect ing fis sures that pen e trate the Badenian reef lime stone down for more than 10 m. The dykes are filled by sev eral g...

abstract. in this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized haar functions. for this purpose, the properties of hybrid of rationalized haar functions are presented. in addition, the operational matrix of the fractional integration is obtained and is utilized to convert compu...

Recently, we pointed out that on a class on non exactly decimable frac-tals two diierent parameters are required to describe diiusive and vibra-tional dynamics. This phenomenon we call dynamical dimension splitting is related to the lack of exact decimation invariance for these structures, which turn out to be invariant under a more complex cutting-decimation transform. In this paper we study i...

in this work, we proposed an efective method based on cubic and pantic b-spline scaling functions to solve partial differential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a ...

In this paper we introduce and investigate a logic for the schema calculus of Z. The schema calculus is arguably the reason for Z 's popularity but so far no true calculus (a sound system of rules for reasoning about schema expressions) has been given. Presentations thus far have either failed to provide a calculus (e.g. the draft standard 3]) or have fallen back on informal descriptions at a s...

In this paper, we prompt public policy performance evaluation method based on local fractional algorithm. This paper takes the public value as a basic framework to build a system and it combines the execution process of ecological construction policies with the performance evaluation of the ecological effects. Then it extracts index factors from some aspects such as the "fairness" of the policy...

For simplicity, we adopt the following rules: a, b, x, y, z, X, Y , Z denote sets, n denotes a natural number, i denotes an integer, r, r1, r2, r3, s denote real numbers, c, c1, c2 denote complex numbers, and p denotes a point of En T. Let us observe that every element of IQ is irrational. Next we state a number of propositions: (1) If 0 ≤ r and 0 ≤ s and r2 = s2, then r = s. (2) If frac r ≥ fr...