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   Articles with "local fractional" as a keyword



On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

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recommendations! 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
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On the consistency of local fractional semilinear Duhem model

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recommendations! Published in 2020 at "International Journal of Dynamics and Control"

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 fractal integral operating circuit described by the local fractional derivative

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recommendations! Published in 2025 at "COMPEL - The international journal for computation and mathematics in electrical and electronic engineering"

DOI: 10.1108/compel-05-2025-0226

Abstract: The purpose of this paper is to derive a new fractal integral operating circuit described by the local fractional derivative. This paper derives a new fractal integral operating circuit described by the local fractional derivative… read more here.

Keywords: fractional derivative; fractal integral; integral operating; local fractional ... See more keywords

The pulse narrowing nonlinear transmission lines model within the local fractional calculus on the Cantor sets

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recommendations! 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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recommendations! Published in 2020 at "IEEE Access"

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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recommendations! Published in 2021 at "IEEE Access"

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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recommendations! Published in 2018 at "Fractals"

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
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THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS

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recommendations! Published in 2020 at "Fractals"

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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recommendations! Published in 2020 at "Fractals"

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
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NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS

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recommendations! Published in 2020 at "Fractals"

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

PREFACE — SPECIAL ISSUE ON FRACTALS AND LOCAL FRACTIONAL CALCULUS: RECENT ADVANCES AND FUTURE CHALLENGES

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recommendations! Published in 2024 at "Fractals"

DOI: 10.1142/s0218348x24020031

Abstract: Fractal geometry plays an important role in the description of the characteristics of nature. Local fractional calculus, a new branch of mathematics, is used to handle the non-differentiable problems in mathematical physics and engineering sciences.… read more here.

Keywords: function; fractional calculus; calculus; local fractional ... See more keywords