In this paper, multi-objective optimization is used for Pareto optimum design of fuzzy fractional-order PID controllers for plants with parametric uncertainties. Two conflicting objective functions have been used in Pareto design of the fuzzy fractional-order PID controller. The results clearly show that an effective trade-off can be compromisingly achieved among the different fuzzy fractional-...

In this letter, we investigated the downlink transmission problem of a cognitive radio network (CRN) equipped with novel transmissive reconfigurable intelligent surface (TRIS) transmitter. order to achieve low power consumption and high-rate multi-streams communication, time-modulated arrays (TMA) is implemented users access using rate splitting multiple (RSMA). With such framework, multi-objec...

The key objective of the current manuscript was to investigate exact solutions fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we applied two reliable and efficient approaches; specifically, modified simple equation (MSE) exponential rational function (ERF) techniques. methods considered in paper offer for problems nonlinear theory mathematical physics practice. We ...

In this article we define certain conditions on the functionals of multi-objective fractional variational problem in order that it becomes F-Kuhn Tucker pseudo invex or F-Fritz John pseudo invex. We also define F-KT and F-FJ points. Further, these problems are characterized such that all F-KT and F-FJ points become efficient solutions for the featured problem. An example is presented to verify ...

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a finite number of extreme points and the denominator part of each of the objec...

The main objective of this paper is to establish some new variants the Jensen–Mercer inequality via harmonically strongly convex function. We also propose fractional analogues Hermite–Hadamard–Jensen–Mercer-like inequalities using AB integrals. In order obtain our results, we derive integral identities. To demonstrate significance present interesting applications special means and error bounds ...