LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "conformable fractional" as a keyword



Conformable fractional Sturm‐Liouville equation

Sign Up to like & get
recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5595

Abstract: In this article, we discuss a conformable fractional Sturm‐Liouville boundary‐value problem. We prove an existence and uniqueness theorem for this equation and formulate a self‐adjoint boundary value problem. We also construct the associated Green function… read more here.

Keywords: liouville equation; fractional sturm; sturm liouville; conformable fractional ... See more keywords

Derivation of optical solitons for perturbed highly dispersive conformable fractional nonlinear Schrödinger equation with sextic-power law refractive index

Sign Up to like & get
recommendations! Published in 2024 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-024-06725-9

Abstract: In this article, the modified extended direct algebraic method is applied for the perturbed highly dispersive nonlinear Schrödinger equation with conformable fractional derivative and sextic-power law refractive index. Various types of solutions are extracted such… read more here.

Keywords: perturbed highly; schr dinger; highly dispersive; dinger equation ... See more keywords

Forecasting annual electricity consumption in China by employing a conformable fractional grey model in opposite direction

Sign Up to like & get
recommendations! Published in 2020 at "Energy"

DOI: 10.1016/j.energy.2020.117682

Abstract: Abstract Electric power makes a significant contribution to economic development. Predicting annual electricity consumption is becoming increasingly crucial for electric power utility planning and economic development. To address this problem, a novel conformable fractional grey… read more here.

Keywords: annual electricity; model; electricity consumption; conformable fractional ... See more keywords

New explicit soliton and other solutions for the conformable fractional Biswas-Milovic equation with Kerr and parabolic nonlinearity through an integration scheme

Sign Up to like & get
recommendations! Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2018.05.129

Abstract: Abstract In this paper, we derived new explicit complex hyperbolic and complex trigonometric function solutions, especially dark, bright, combined dark–bright, singular, combined singular soliton and other soliton solutions from the conformable fractional Biswas–Milovic equation with… read more here.

Keywords: new explicit; fractional biswas; conformable fractional; soliton ... See more keywords
Photo from archive.org

New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation

Sign Up to like & get
recommendations! Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2018.06.111

Abstract: Abstract In this article, an amelioration of the approaches namely the new extended direct algebraic method for solving the nonlinear conformable fractional Schrodinger-Hirota equation (FSHE) is presented. By using the traveling wave transformation change the… read more here.

Keywords: hirota equation; new optical; optical solitons; conformable fractional ... See more keywords

The conformable fractional grey system model.

Sign Up to like & get
recommendations! Published in 2019 at "ISA transactions"

DOI: 10.1016/j.isatra.2019.07.009

Abstract: The fractional order grey models have appealed considerable interest of research in recent years due to its high effectiveness and flexibility in time series forecasting. However, the existing fractional order accumulation and difference are computationally… read more here.

Keywords: grey model; conformable fractional; accumulation difference; grey ... See more keywords

Soliton dynamics based on exact solutions of conformable fractional discrete complex cubic Ginzburg–Landau equation

Sign Up to like & get
recommendations! Published in 2020 at "Results in physics"

DOI: 10.1016/j.rinp.2020.103710

Abstract: Abstract The Jacobian elliptic function expansion method is modified by considering conformable fractional derivative and applying a lot of relations among Jacobian elliptic functions. This modified method is applied to derive the discrete fractional soliton… read more here.

Keywords: fractional discrete; discrete complex; conformable fractional; complex cubic ... See more keywords

Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness.

Sign Up to like & get
recommendations! Published in 2023 at "Chaos"

DOI: 10.1063/5.0125651

Abstract: In this article, we consider conformable fractional stochastic differential equations (CFSDEs) driven by fBm with infinite delay via measures of noncompactness (MNC). As far as we know, there are few papers considering this issue. First,… read more here.

Keywords: controllability; stochastic differential; infinite delay; fractional stochastic ... See more keywords

An insight into the solitonic structure of two distinct fractional nonlinear Schrödinger models in optical fiber using conformable fractional derivative

Sign Up to like & get
recommendations! Published in 2024 at "AIP Advances"

DOI: 10.1063/5.0187732

Abstract: The goal of this work was to use conformable fractional derivative sense to create some crucial solitary waves for two models of space–time fractional nonlinear Schrödinger equations. We use the unified solver approach to accomplish… read more here.

Keywords: fractional derivative; schr dinger; optical fiber; fractional nonlinear ... See more keywords

A novel conformable Laplace transform for conformable fractional Lane–Emden type equations

Sign Up to like & get
recommendations! Published in 2022 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2022.2037575

Abstract: In the current work, we introduce a relatively new integral operator, a modification of conformable Laplace transform that can handle some conformable fractional differential equations with singularities of a given kind. Some essential properties and… read more here.

Keywords: conformable laplace; transform; fractional lane; laplace transform ... See more keywords

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

Sign Up to like & get
recommendations! Published in 2018 at "Journal of Function Spaces"

DOI: 10.1155/2018/6928130

Abstract: We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities. read more here.

Keywords: integrals versions; fractional integrals; versions hermite; conformable fractional ... See more keywords