In the present article, fractional order differential difference equation is solved by using residual power series method. Residual method solutions for classical and are obtained in a form showing good accuracy of Illustrative models considered to affirm legitimacy technique. The chosen problems represented tables plots which show between exact assimilated models.

In this article a new approach in solving time fractional partial differential equations is introduced, that is, the ARA-residual power series method. The main idea of technique, depends on applying ARA-transform and using Taylor's expansion to construct approximate solutions. procedure getting solutions for nonlinear difficult mission, method over comes trouble throughout expressing solution f...

This article provides a power series summability-based Korovkin type approximation theorem for any sequence of fuzzy positive linear operators. Using the notion modulus smoothness, we also derive an associated concerning rate convergence these Furthermore, through example, illustrate that our summability- based Korovin has advantage over proved in seminal paper by Anastassiou (Stud. Univ. Babeş...

flexible ac transmission systems (facts) controllers with its ability to directly control the power flow can offer great opportunities in modern power system, allowing better and safer operation of transmission network. in this paper, in order to find type, size and location of facts devices in a power system a dedicated improved particle swarm optimization (dipso) algorithm is developed for de...

let $alpha$ be an automorphism of a ring $r$. the authors [on skewinverse laurent-serieswise armendariz rings, comm. algebra 40(1)(2012) 138-156] applied the concept of armendariz rings to inverseskew laurent series rings and introduced skew inverselaurent-serieswise armendariz rings. in this article, we study on aspecial type of these rings and introduce strongly armendariz ringsof inverse ske...

in this research the chaocity of precipitation time series in daily, weekly and monthly scales in the pole-kohneh and ghourbaghestan stations located in qarah-soo watershed is investigated. in order to reassure about the absence of stochastic behavior of the time series, method of surrogate data is applied. thereafter, the aperiodicity of the time series is investigated using power spectrum ana...

In this paper, the general solution of steady-state two-dimensional non-axisymmetric mechanical and thermal stresses and mechanical displacements of a hollow thick cylinder made of fluid-saturated functionally graded porous material (FGPM) is presented. The general form of thermal and mechanical boundary conditions is considered on the inside and outside surfaces. A direct method is used to sol...