In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising inmathematical physics with local fractional derivative operators (LFDOs). To get approximate solutionsof these equations, we utilize the reduce differential transform method (RDTM) which is basedupon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. Theobtained ...

in this paper, we propose an iterated greedy algorithm for solving the blocking flow shop scheduling problem with total flow time minimization objective. the steps of this algorithm are designed very efficient. for generating an initial solution, we develop an efficient constructive heuristic by modifying the best known neh algorithm. effectiveness of the proposed iterated greedy algorithm is t...

in this study, a new efficient semi-analytical method is introduced to give approximate solutions of strongly nonlinear oscillators. the proposed method is based on combination of two different methods, the multi-step homotopy analysis method and spectral method, called the multi-step spectral homotopy analysis method (msham). in this method, firstly, we propose a new spectral homotopy analysis...

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...

We propose a general technique related to the polytopal Sperner lemma for proving old and new multilabeled versions of Sperner’s lemma. A notable application of this technique yields a cake-cutting theorem where the number of players and the number of pieces can be independently chosen. We also prove multilabeled versions of Fan’s lemma, a combinatorial analogue of the Borsuk-Ulam theorem, and ...

Thi spaperdi scussesstochasti cextensi onsofasi mpl eprocessal gebrai nacausal i ty-based setti ng. Atomi c acti ons are supposed to happen after a del ay that i s deter-mi ned bya stochasti c vari abl e wi th acertai n di stri buti on. Asi mpl e stochasti c type of event structures i s di scussed, restri cti ng the di stri buti on functi ons to be expo-nenti al. Acorrespondi ngoperati onalsema...

Let {Xi},i = l, • • • , be a sequence of independent and identically distributed random variables with density function f(x). We shall assume throughout that EXi=p>0. Let {Sn}, n = l, • • • , be the sequence of cumulative sums Sn= 23"-1 -^«'Let H(x) = 23»= i P(Sn ^x) and h(x)=H'(x). Since H(x) is nondecreasing, h(x) is defined for almost all x. Let A be any Borel set of positive real numbers an...

We wish to navigate across complicated three-dimensional structures. We describe a robot that can propel itself on a web of surfaces oriented around arbitrary directions in three-space. This robot is an inchworm-like robot with a simple, modular, and exi-ble design. We present control algorithms for the task-level skills that allow the robot to walk vertically, horizontally , and inverted, and ...

We investigate the characteristics of constant-amplitude input shapers for robust time-optimal maneuvers of exi-ble structures. Trends in the timing of the shaper impulses are shown as a function of the system damping constant and move distance. The insensitivity to modeling errors, time-optimality, amount of vibration caused during maneuvers, and high frequency excitation of these shapers are ...