Error Analysis of a New Fractional-Step Method for the Incompressible Navier–Stokes Equations with Variable Density
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01253-6
Abstract: A new fractional-step scheme for the numerical solution to the incompressible Navier–Stokes equations with variable density is proposed. Compared with other known methods, the numerical velocity and pressure are determined by a generalized Stokes problem… read more here.
Keywords: new fractional; step; stokes equations; fractional step ... See more keywords
New Fractional Integral Inequalities for Differentiable Convex Functions and Their Applications
Sign Up to like & getrecommendations! Published in 2017 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-017-1376-9
Abstract: We establish some new fractional integral inequalities for differentiable convex functions and give several applications for the Beta-function. read more here.
Keywords: new fractional; convex functions; integral inequalities; inequalities differentiable ... See more keywords
A new fractional wave packet transform
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DOI: 10.1016/j.ijleo.2021.166357
Abstract: Abstract The fractional Fourier transform (FRFT) has been shown to be powerful tool for optics and signal processing. However, it fails in locating the fractional domain frequency contents which is required in some applications. In… read more here.
Keywords: new fractional; fractional wave; packet transform; wave packet ... See more keywords
A new fractional orthogonal basis and its application in nonlinear delay fractional optimal control problems.
Sign Up to like & getrecommendations! Published in 2020 at "ISA transactions"
DOI: 10.1016/j.isatra.2020.12.037
Abstract: This paper aims to devise a novel fractional orthogonal basis to solve a certain class of nonlinear fractional optimal control problems with delay whose system dynamics is governed by a nonlinear fractional differential equation of… read more here.
Keywords: new fractional; orthogonal basis; basis; control problems ... See more keywords
Robust Color Images Watermarking Using New Fractional-Order Exponent Moments
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DOI: 10.1109/access.2021.3068211
Abstract: Robust watermarking is a valuable methodology used in protecting the copyright and securing digital images. In this paper, new fractional-order multi-channel orthogonal exponent moments (MFrEMs) and their invariants to geometric transformations are derived for the… read more here.
Keywords: color images; robust watermarking; new fractional; color ... See more keywords
A new fractional model for giving up smoking dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1139-9
Abstract: The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid of an… read more here.
Keywords: new fractional; giving smoking; fractional derivative; smoking model ... See more keywords
New Fractional Integral Inequalities Pertaining to Caputo-Fabrizio and Generalized Riemann-Liouville Fractional Integral Operators
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11110618
Abstract: Integral inequalities have accumulated a comprehensive and prolific field of research within mathematical interpretations. In recent times, strategies of fractional calculus have become the subject of intensive research in historical and contemporary generations because of… read more here.
Keywords: fractional integral; new fractional; liouville fractional; integral inequalities ... See more keywords
A New Fractional Particle Swarm Optimization with Entropy Diversity Based Velocity for Reactive Power Planning
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DOI: 10.3390/e22101112
Abstract: Optimal Reactive Power Dispatch (ORPD) is the vital concern of network operators in the planning and management of electrical systems to reduce the real and reactive losses of the transmission and distribution system in order… read more here.
Keywords: new fractional; swarm optimization; particle swarm; optimization ... See more keywords
Some New Fractional Integral Inequalities Pertaining to Generalized Fractional Integral Operator
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DOI: 10.3390/sym14081691
Abstract: Integral inequalities make up a comprehensive and prolific field of research within the field of mathematical interpretations. Integral inequalities in association with convexity have a strong relationship with symmetry. Different disciplines of mathematics and applied… read more here.
Keywords: inequalities pertaining; fractional integral; new fractional; integral inequalities ... See more keywords
An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator
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DOI: 10.3390/sym15010144
Abstract: Recently, a new fractional derivative operator has been introduced so that it presents the combination of the Riemann–Liouville integral and Caputo derivative. This paper aims to enhance the reproducing kernel Hilbert space method (RKHSM, for… read more here.
Keywords: derivative operator; operator; new fractional; fractional derivative ... See more keywords
Some New Fractional Hadamard and Pachpatte-Type Inequalities with Applications via Generalized Preinvexity
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DOI: 10.3390/sym15051033
Abstract: The term convexity associated with the theory of inequality in the sense of fractional analysis has a broad range of different and remarkable applications in the domain of applied sciences. The prime objective of this… read more here.
Keywords: hadamard pachpatte; pachpatte type; new fractional; hadamard ... See more keywords