In this paper, control of uncertain fractional-order financial chaotic system with input saturation and external disturbance is investigated. The unknown part of the input saturation as well as the system's unknown nonlinear function is approximated by a fuzzy logic system. To handle the fuzzy approximation error and the estimation error of the unknown upper bound of the external disturbance, f...

This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.

In this article, a fuzzy goal programming (GP) and method of approximation is presented for the solution of a multiobjective linear plus linear fractional programming problem. In the proposed approach, membership functions are defined for each fuzzy goal and then a method of variable change on the underand overdeviational variables of the membership functions associated with the fuzzy goals of ...

this work concerns the study of existence and uniqueness to heat equation with fractional laplacian dierentiation in extended colombeau algebra.

The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of  Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to...

A new method is proposed to find an optimal intuitionistic fuzzy solution to fully intuitionistic fuzzy linear fractional programming (IFLFP) problem, in which ranking functions are not used. Here, the IFLFP problem is transformed into an equivalent crisp linear fractional programming problem which is then solved by linear programming (LP) technique and / or linear fractional programming techni...

This paper presents an adaptive hybrid fuzzy controller to achieve prescribed tracking performance of fractional order chaotic systems. Depending on plant knowledge and control knowledge, a weighting factor can be adjusted by combining the indirect adaptive fuzzy control effort and the direct fuzzy adaptive control effort. Nonlinear fractional order chaotic response system is fully demonstrated...

In the analysis in this article, we developed a scheme for computation of semi-analytical solution to fuzzy fractional-order heat equation two dimensions having some external diffusion source term. For this, applied Laplace transform along with decomposition techniques and Adomian polynomial under Caputo–Fabrizio fractional differential operator. Furthermore, obtaining series-type solution, unk...

in this paper, the researchers present a multi-objective linear fractional inventory model using fuzzy pro-gramming. the proposed method in this paper is applied to a problem with two objective functions. the re-sulted fuzzy model is transformed into an ordinary linear programming. the implementation of the develop-ing model presented in this paper is demonstrated through the use of some numeri...

In this paper, a multi-objective intuitionistic fuzzy linear fractional programm ing problem is discussed with two different methods namely Kanti Swarup’s Fractional algorithm and weighting factor method in which the constraints are triangular intuitionistic fuzzy number. The optimal solutions are verified for the proposed methods. Numerical examples are provided to check the feasibility of the...