SOLUTION OF THE UNCONDITIONAL EXTREMAL PROBLEM FOR A LINEAR-FRACTIONAL INTEGRAL FUNCTIONAL DEPENDENT ON THE PARAMETER

2020 ◽  
Keyword(s):  
Extremal Problem ◽  
Fractional Integral ◽  
Integral Functional

scholarly journals Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Tariq A. Aljaaidi ◽  
Deepak B. Pachpatte ◽  
Wasfi Shatanawi ◽  
Mohammed S. Abdo ◽  
Kamaleldin Abodayeh
Keyword(s):  
Integral Operator ◽  
Fractional Integral ◽  
Integral Functional ◽  
Fractional Integral Operator ◽  
Integral Inequalities ◽  
Special Cases ◽  
Close Relationship ◽  
Open Issue ◽  
Conclusion Section ◽  
Positive Functions

AbstractIn this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ. The functions used in this work are bounded by two positive functions to get reverse Minkowski inequalities in a new sense. Moreover, we introduce new fractional integral inequalities which have a close relationship to the reverse Minkowski-type inequalities via ψ-proportional fractional integral, then with the help of this fractional integral operator, we discuss some new special cases of reverse Minkowski-type inequalities through this work. An open issue is covered in the conclusion section to extend the current findings to be more general.

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1931-1939 ◽  
Author(s):  
Junesang Choi ◽  
Praveen Agarwal
Keyword(s):  
Integral Operator ◽  
Fractional Calculus ◽  
Fractional Integral ◽  
Fractional Integration ◽  
Fractional Integral Operator ◽  
Integration Formula ◽  
Special Cases

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

scholarly journals PSO technique applied to sensorless field-oriented control PMSM drive with discretized RL-fractional integral

2021 ◽  
Vol 60 (4) ◽  
pp. 4029-4040
Author(s):  
Waleed Abd El Maguid Ahmed ◽  
Mahmoud M. Adel ◽  
M. Taha ◽  
Amr A. Saleh
Keyword(s):  
Fractional Integral ◽  
Field Oriented Control

An extremal problem for operators

1986 ◽  
Vol 84 ◽  
pp. 213-223 ◽  
Author(s):  
Vlastimil Pták
Keyword(s):  
Extremal Problem

scholarly journals Duality Theorems for (ρ,ψ,d)-Quasiinvex Multiobjective Optimization Problems with Interval-Valued Components

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 894
Author(s):  
Savin Treanţă
Keyword(s):  
Multiobjective Optimization ◽  
Optimization Problems ◽  
Integral Functional ◽  
Multiple Integral ◽  
Control Problems ◽  
Duality Theorems ◽  
New Class ◽  
Duality Results ◽  
Multiobjective Optimization Problems ◽  
Interval Valued

The present paper deals with a duality study associated with a new class of multiobjective optimization problems that include the interval-valued components of the ratio vector. More precisely, by using the new notion of (ρ,ψ,d)-quasiinvexity associated with an interval-valued multiple-integral functional, we formulate and prove weak, strong, and converse duality results for the considered class of variational control problems.

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