Conformable fractional Sturm‐Liouville equation
Sign Up to like & getrecommendations! 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
Forecasting annual electricity consumption in China by employing a conformable fractional grey model in opposite direction
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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
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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
New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation
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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 & getrecommendations! 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 & getrecommendations! 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 & getrecommendations! 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
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations
Sign Up to like & getrecommendations! 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
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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
Exact Solutions of Three Types of Conformable Fractional-Order Partial Differential Equations
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DOI: 10.1155/2022/5295115
Abstract: Fractional calculus is widely used in biology, control systems, and engineering, so it has been highly valued by scientists. Fractional differential equations are considered an important mathematical model that is widely used in science and… read more here.
Keywords: three types; solutions three; types conformable; exact solutions ... See more keywords
Noninstantaneous impulsive inequalities via conformable fractional calculus
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DOI: 10.1186/s13660-018-1855-z
Abstract: We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus. read more here.
Keywords: conformable fractional; fractional calculus; inequalities via; impulsive inequalities ... See more keywords