in this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. we approximate the exact solution by use of radial basis function(rbf) collocation method. this techniqueplays an important role to reduce a fractional dierential equation to a system of equations. the numerical results demonstrate the accuracy and ability of this me...

This paper deals with linear fractional bilevel programming problem. The goals of objective functions are determined by optimizing individual objective function subject to the system constraints. Then the fractional objective functions are transformed into equivalent linear functions at the optimal solution point by using first order Taylor polynomial series. Since the objectives of the decisio...

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...

A new method for designing PID Controllers using Bode's ideal transfer function and constrained Particle Swarm Optimization (PSO) is proposed in this paper. Bode's ideal transfer function is introduced using fractional calculus and Carlsson's approximation is used for converting the transfer function from fractional to integer domain. The PID controller is designed by minimizing ...

The objective of this research is to obtain some fractional integral formulas concerning products the generalized Mittag–Leffler function and two H-functions. resulting are described in terms H-function several variables. Moreover, we give illustrative examples for efficiency general approach our results.

This paper presents a linear fractional programming problem (LFPP) with rough interval coefficients (RICs) in the objective function. It shows that LFPP RICs function can be converted into (LPP) by using variable transformations. To solve this problem, we will make two LPP (ICs). Next, those four LPPs constructed under these assumptions; solved classical simplex method and used MS Excel Solver....

In this paper, we study the classical sensitivity analysis when the right hand – side vector, and the coefficients of the objective function are allowed to vary.

in recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. the following method is based on vector forms of haar-wavelet functions. in this paper, we will introduce one dimensional haar-wavelet functions and the haar-wavelet operational matrices of the fractional order integration. also the haar-wavelet operational matrice...

this article is devoted to the study of existence and multiplicity of positive solutions to aclass of nonlinear fractional order multi-point boundary value problems of the type−dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where dq0+ represents standard riemann-liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ∞...

In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative of function tk. We approximate the C-F derivative in time with the help of the Legendre spectral method and approximation formula o...