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   Articles with "conformable derivative" as a keyword



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The genesis of two-hump, W-shaped and M-shaped soliton propagations of the coupled Schrödinger–Boussinesq equations with conformable derivative

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recommendations! Published in 2021 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-021-02956-2

Abstract: This work oversees with the coupled Schrödinger–Boussinesq equations with conformable derivative, which have lots of applications in laser and plasma. The said equations are reduced to a coupled stationary form using complex travelling wave transformation.… read more here.

Keywords: boussinesq equations; equations conformable; conformable derivative; dinger boussinesq ... See more keywords
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Complex conformable derivative

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recommendations! Published in 2019 at "Arabian Journal of Geosciences"

DOI: 10.1007/s12517-019-4396-y

Abstract: In this study, we introduce a new complex conformable derivative and integral with noninteger order α which coincides the classical complex derivative and integral for α = 1. We examine basic properties of these newly… read more here.

Keywords: complex conformable; derivative integral; conformable derivative;
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Fractional conformable derivatives of Liouville–Caputo type with low-fractionality

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recommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"

DOI: 10.1016/j.physa.2018.03.018

Abstract: Abstract This paper presents a novel fractional conformable derivative of Liouville–Caputo type of fractional order α = n − ϵ that contains a small ϵ and positive integer n values between [1;2]. The method is… read more here.

Keywords: liouville caputo; caputo type; conformable derivative; fractional conformable ... See more keywords
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New exact solutions of Burgers’ type equations with conformable derivative

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recommendations! Published in 2017 at "Waves in Random and Complex Media"

DOI: 10.1080/17455030.2016.1205237

Abstract: In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’… read more here.

Keywords: conformable derivative; type equations; solutions burgers; new exact ... See more keywords
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Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative

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recommendations! Published in 2019 at "Modern Physics Letters A"

DOI: 10.1142/s0217732319501554

Abstract: In this paper, new analytical obliquely propagating wave solutions for the time fractional extended Zakharov–Kuzetsov (FEZK) equation of conformable derivative are investigated. By using the main properties of the conformable derivative, the FEZK equation is… read more here.

Keywords: zakharov kuzetsov; equation conformable; equation; conformable derivative ... See more keywords
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Regularization and error estimates for an inverse heat problem under the conformable derivative

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recommendations! Published in 2018 at "Open Mathematics"

DOI: 10.1515/math-2018-0084

Abstract: Abstract In this paper we study an inverse time problem for the nonhomogeneous heat equation under the conformable derivative which is a severely ill-posed problem. Using the quasi-boundary value method with two regularization parameters (one… read more here.

Keywords: error; conformable derivative; regularization error; heat ... See more keywords
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Some new solutions of the conformable extended Zakharov-Kuznetsov equation using Atangana-Baleanu conformable derivative

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recommendations! Published in 2019 at "Thermal Science"

DOI: 10.2298/tsci190303402b

Abstract: The generalized Riccati equation mapping method, coupled with Atangana?s conformable derivative is implemented to solve non-linear extended Zakharov-Kuznetsov equation which results in producing hyperbolic, trigonometric and the rational solutions. The obtained results are new and… read more here.

Keywords: extended zakharov; kuznetsov equation; conformable derivative; zakharov kuznetsov ... See more keywords