On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7060
Abstract: One of the most interesting branches of fractional calculus is the local fractional calculus, which has been used successfully to describe many fractal problems in science and engineering. The main purpose of this contribution is… read more here.
Keywords: local fractional; fractional gardner; gardner equation; solutions local ... See more keywords
On the consistency of local fractional semilinear Duhem model
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DOI: 10.1007/s40435-019-00607-9
Abstract: In this paper, we introduce the local fractional semilinear and the local fractional Dahl models and investigate their consistency with hysteresis. The notion of consistency was initially introduced in Ikhouane (Math Control Signals Syst 25:294–310)… read more here.
Keywords: fractional semilinear; local fractional; semilinear duhem; consistency local ... See more keywords
The pulse narrowing nonlinear transmission lines model within the local fractional calculus on the Cantor sets
Sign Up to like & getrecommendations! Published in 2023 at "COMPEL - The international journal for computation and mathematics in electrical and electronic engineering"
DOI: 10.1108/compel-11-2022-0390
Abstract: Purpose The fractal and fractional calculus have obtained considerable attention in the electrical and electronic engineering since they can model many complex phenomena that the traditional integer-order calculus cannot. The purpose of this paper is… read more here.
Keywords: local fractional; pulse narrowing; transmission lines; nonlinear transmission ... See more keywords
Sharp Bounds of Local Fractional Metric Dimensions of Connected Networks
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DOI: 10.1109/access.2020.3025018
Abstract: Metric dimension is a distance based parameter which is used to determine the locations of machines (or robots) with respect to minimum consumption of time, shortest distance among the destinations and lesser number of the… read more here.
Keywords: fractional metric; bounds local; metric dimensions; local fractional ... See more keywords
Local Fractional Strong Metric Dimension of Certain Rotationally Symmetric Planer Networks
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DOI: 10.1109/access.2021.3131311
Abstract: Fractional versions of metric based networks invariants widen the scope of application in fields of intelligent systems, computer science and chemistry including, robot navigation, sensor networking, linear optimization problems, scheduling, assignment, operation research problems, image… read more here.
Keywords: chemistry; local fractional; symmetric planer; rotationally symmetric ... See more keywords
ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS
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DOI: 10.1142/s0218348x18500949
Abstract: The new fractal models of the [Formula: see text]-dimensional and [Formula: see text]-dimensional nonlinear local fractional Harry Dym equation (HDE) on Cantor sets are derived and the analytical approximate solutions of the above two new… read more here.
Keywords: local fractional; harry dym; approximate solutions; see text ... See more keywords
THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS
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DOI: 10.1142/s0218348x2050111x
Abstract: In this paper, by using the theory of local fractional calculus and some techniques of real analysis, the structural characteristics of Hilbert-type local fractional integral inequalities with abstract homogeneous kernel are studied. At the same… read more here.
Keywords: inequalities abstract; local fractional; hilbert type; integral inequalities ... See more keywords
LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS
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DOI: 10.1142/s0218348x21500067
Abstract: In this paper, we establish some local fractional Ostrowski-type integral inequalities for generalized [Formula: see text]-convex functions on real linear fractal set [Formula: see text]. We present two examples to illustrate our main results. As… read more here.
Keywords: ostrowski type; local fractional; fractional ostrowski; convex functions ... See more keywords
NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS
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DOI: 10.1142/s0218348x21500110
Abstract: In this paper, we structure the idea of the fractal memristor to simulate the nonlinear self-similarity dopant drift effect for the first time. We investigate the fractal memristor device with the use of the local… read more here.
Keywords: memristor model; fractal memristor; order; local fractional ... See more keywords
Some Hermite–Hadamard type inequalities for generalized h-preinvex function via local fractional integrals and their applications
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DOI: 10.1186/s13662-020-02812-9
Abstract: The concept of generalized h-preinvex function on real linear fractal sets $R^{\beta }$ ( $0 < \beta \le 1$ ) is introduced, which extends generalized preinvex, generalized s-preinvex, generalized Godunova–Levin preinvex, and generalized P-preinvex functions.… read more here.
Keywords: preinvex function; local fractional; generalized preinvex; hadamard type ... See more keywords
Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property
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DOI: 10.1186/s13662-020-03121-x
Abstract: In the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent literature. We provide new generalizations… read more here.
Keywords: local fractional; trapezium type; inequalities settings; fractal sets ... See more keywords